Pith Number

pith:SIEW2ZFG

pith:2011:SIEW2ZFGB2OIH5NAGY4QOJGJDM

not attested not anchored not stored refs pending

BV-structures on the homology of the framed long knot space

Keiichi Sakai

arxiv:1110.2358 v2 · 2011-10-11 · math.GT · 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{SIEW2ZFGB2OIH5NAGY4QOJGJDM}

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	2026-05-18T01:06:29.479989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92096d64a60e9c83f5a036390724c91b29914e4d1560bf70baf3eab372c60038

Aliases

arxiv: 1110.2358 · arxiv_version: 1110.2358v2 · doi: 10.48550/arxiv.1110.2358 · pith_short_12: SIEW2ZFGB2OI · pith_short_16: SIEW2ZFGB2OIH5NA · pith_short_8: SIEW2ZFG

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/SIEW2ZFGB2OIH5NAGY4QOJGJDM \
  | 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: 92096d64a60e9c83f5a036390724c91b29914e4d1560bf70baf3eab372c60038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf036ba8584f54ac334cbc4ef1d9dc137640fd83fbb8586f6f5bfeb1efcac2db",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-11T12:54:18Z",
    "title_canon_sha256": "959aba84e50b3bade5bf5be838e90e94914b663162143c94332925eb57019653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2358",
    "kind": "arxiv",
    "version": 2
  }
}