Pith Number

pith:EWDU6YZV

pith:1999:EWDU6YZVPOIA47MTADISWANPYJ

not attested not anchored not stored refs pending

String Topology

Dennis Sullivan, Moira Chas

arxiv:math/9911159 v1 · 1999-11-21 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWDU6YZVPOIA47MTADISWANPYJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

6 papers in Pith

Lagrangian capacity and chain level string topology

Poincar\'e duality for loop spaces

Reduced symplectic homology and string topology

Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories

Gauge Symmetries, Contact Reduction, and Singular Field Theories

Receipt and verification

First computed	2026-07-04T14:41:23.494361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25874f63357b900e7d9300d12b01afc242a3938a1d05ca8a5e29765c37f9386d

Aliases

arxiv: math/9911159 · arxiv_version: math/9911159v1 · doi: 10.48550/arxiv.math/9911159 · pith_short_12: EWDU6YZVPOIA · pith_short_16: EWDU6YZVPOIA47MT · pith_short_8: EWDU6YZV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EWDU6YZVPOIA47MTADISWANPYJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 25874f63357b900e7d9300d12b01afc242a3938a1d05ca8a5e29765c37f9386d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39491e5cb09b106a72af75f077cce50f6bf9da6de60f7b975524fa475d0aaa99",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-21T00:45:42Z",
    "title_canon_sha256": "428a68911f2afba12743c337a0eb547b09fd756a7007eb2f6bac5616e58c1e5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911159",
    "kind": "arxiv",
    "version": 1
  }
}