Pith Number

pith:S4YMU7P3

pith:2026:S4YMU7P3I3GFXTBDSZVQOCQP6M

not attested not anchored not stored refs pending

String topology operations under Chen's iterated integrals and homotopy transfer

Evgeny Volkov, Kai Cieliebak

arxiv:2607.03782 v1 · 2026-07-04 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4YMU7P3I3GFXTBDSZVQOCQP6M}

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.

Receipt and verification

First computed	2026-07-07T02:18:07.460387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9730ca7dfb46cc5bcc23966b070a0ff32181dab81bec0f05140a0d0b108b6a67

Aliases

arxiv: 2607.03782 · arxiv_version: 2607.03782v1 · doi: 10.48550/arxiv.2607.03782 · pith_short_12: S4YMU7P3I3GF · pith_short_16: S4YMU7P3I3GFXTBD · pith_short_8: S4YMU7P3

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/S4YMU7P3I3GFXTBDSZVQOCQP6M \
  | 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: 9730ca7dfb46cc5bcc23966b070a0ff32181dab81bec0f05140a0d0b108b6a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9266fb2e7a5f61e33da0284b8c5150277801d0504cb43e4cfe4c87a672456754",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-04T09:13:02Z",
    "title_canon_sha256": "4b8542aa8b9a525d343e8ed2988de739de8abc7e0b7c780c51e852cfa2aebf63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03782",
    "kind": "arxiv",
    "version": 1
  }
}