Pith Number

pith:T5BLV545

pith:2007:T5BLV5452XUKZ3BNRS7MCD3BKM

not attested not anchored not stored refs pending

Higher string topology operations

Veronique Godin

arxiv:0711.4859 v2 · 2007-11-30 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5BLV5452XUKZ3BNRS7MCD3BKM}

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

1 paper in Pith

$b^k$-algebroids and the variety of foliation jets

Receipt and verification

First computed	2026-07-04T15:09:35.795488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f42baf79dd5e8acec2d8cbec10f6153336f23f5d765eac322f72445b39db9e0

Aliases

arxiv: 0711.4859 · arxiv_version: 0711.4859v2 · doi: 10.48550/arxiv.0711.4859 · pith_short_12: T5BLV5452XUK · pith_short_16: T5BLV5452XUKZ3BN · pith_short_8: T5BLV545

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/T5BLV5452XUKZ3BNRS7MCD3BKM \
  | 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: 9f42baf79dd5e8acec2d8cbec10f6153336f23f5d765eac322f72445b39db9e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f047ea9b1ce4f0a8b42c4fc81c2dad0cfa4142da57077feef18852da901c9105",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-11-30T02:43:15Z",
    "title_canon_sha256": "902d66ced3209736e6a52777c5de965f4de5b3bc2a6421514a44d7d27f53896c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4859",
    "kind": "arxiv",
    "version": 2
  }
}