Pith Number

pith:PFXEL4CX

pith:2012:PFXEL4CX2MBITSKCICHASPFZOI

not attested not anchored not stored refs pending

On the S^1 x S^2 HOMFLY-PT invariant and Legendrian links

Dan Rutherford, Mikhail Lavrov

arxiv:1206.5437 v1 · 2012-06-23 · 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{PFXEL4CX2MBITSKCICHASPFZOI}

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	2026-05-18T03:52:40.117830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796e45f057d30289c942408e093cb972178f08ae924462b654f43576017b337d

Aliases

arxiv: 1206.5437 · arxiv_version: 1206.5437v1 · doi: 10.48550/arxiv.1206.5437 · pith_short_12: PFXEL4CX2MBI · pith_short_16: PFXEL4CX2MBITSKC · pith_short_8: PFXEL4CX

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/PFXEL4CX2MBITSKCICHASPFZOI \
  | 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: 796e45f057d30289c942408e093cb972178f08ae924462b654f43576017b337d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ea2b14ceccda9c5621d2823ef8c19a42a75b2694962df2e241cd5967cf9e98f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-06-23T20:44:45Z",
    "title_canon_sha256": "b108b7ee78a41fe52d192b277b00277738d81055f3671d8390228f45a82cd02e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5437",
    "kind": "arxiv",
    "version": 1
  }
}