Pith Number

pith:2EUCFIGB

pith:2014:2EUCFIGBRDX7IASLLD5SUYIMN5

not attested not anchored not stored refs pending

Framed Cord Algebra Invariant of Knots in $S^1 \times S^2$

Shawn X. Cui, Zhenghan Wang

arxiv:1407.8400 v3 · 2014-07-31 · math.QA · 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{2EUCFIGBRDX7IASLLD5SUYIMN5}

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	2026-05-18T01:11:41.470872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d12822a0c188eff4024b58fb2a610c6f4dcdf95beb20d23f72d98e777e7ff57d

Aliases

arxiv: 1407.8400 · arxiv_version: 1407.8400v3 · doi: 10.48550/arxiv.1407.8400 · pith_short_12: 2EUCFIGBRDX7 · pith_short_16: 2EUCFIGBRDX7IASL · pith_short_8: 2EUCFIGB

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/2EUCFIGBRDX7IASLLD5SUYIMN5 \
  | 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: d12822a0c188eff4024b58fb2a610c6f4dcdf95beb20d23f72d98e777e7ff57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f41d4665c89061db0f9ba5100dc78ab5b9349c69d98a15d81bab98f420976c5",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-07-31T13:10:16Z",
    "title_canon_sha256": "39174e917533613167defd19e6cc051db585d90b44f0fae428c0a5d356b0748b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8400",
    "kind": "arxiv",
    "version": 3
  }
}