Pith Number

pith:ZWVGMGDS

pith:2009:ZWVGMGDS5MO3VZSW6B4WBW3QEK

not attested not anchored not stored refs pending

Open-closed field theories, string topology, and Hochschild homology

Andrew J. Blumberg, Constantin Teleman, Ralph L. Cohen

arxiv:0906.5198 v1 · 2009-06-29 · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWVGMGDS5MO3VZSW6B4WBW3QEK}

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

2 papers in Pith

Noncommutative Cartier Formulae

Derived skein module

Receipt and verification

First computed	2026-07-04T15:45:16.796587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdaa661872eb1dbae656f07960db7022b6ffcad747cc5f14e668b555e647068d

Aliases

arxiv: 0906.5198 · arxiv_version: 0906.5198v1 · doi: 10.48550/arxiv.0906.5198 · pith_short_12: ZWVGMGDS5MO3 · pith_short_16: ZWVGMGDS5MO3VZSW · pith_short_8: ZWVGMGDS

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/ZWVGMGDS5MO3VZSW6B4WBW3QEK \
  | 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: cdaa661872eb1dbae656f07960db7022b6ffcad747cc5f14e668b555e647068d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e796d3589da72bd378ac100be4e95119c49c915db2a243ddd6ca8773bfbb17b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-06-29T04:09:48Z",
    "title_canon_sha256": "101e1a4401a0080438a8ebbbeac21a3af4b1e1db86931135c107cdfa14ffa161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5198",
    "kind": "arxiv",
    "version": 1
  }
}