Pith Number

pith:BF2JWXN4

pith:2012:BF2JWXN4DXMGTYXWFE3ASFT3YH

not attested not anchored not stored refs pending

A topological introduction to knot contact homology

Lenhard Ng

arxiv:1210.4803 v2 · 2012-10-17 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BF2JWXN4DXMGTYXWFE3ASFT3YH}

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

Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

Receipt and verification

First computed	2026-05-18T01:34:36.114311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09749b5dbc1dd869e2f6293609167bc1ddaeab9efeaf7c6fda2f5d86f70981e2

Aliases

arxiv: 1210.4803 · arxiv_version: 1210.4803v2 · doi: 10.48550/arxiv.1210.4803 · pith_short_12: BF2JWXN4DXMG · pith_short_16: BF2JWXN4DXMGTYXW · pith_short_8: BF2JWXN4

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/BF2JWXN4DXMGTYXWFE3ASFT3YH \
  | 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: 09749b5dbc1dd869e2f6293609167bc1ddaeab9efeaf7c6fda2f5d86f70981e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "345642ccca456ed5b55f60f7a63ce3ff33d776ab59a3fbfd5c61c705e9d5582e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-17T17:48:58Z",
    "title_canon_sha256": "8b8a44affeafaa219c6097284f863fabd52b54a2ddb55db39ce74c3682c4531d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4803",
    "kind": "arxiv",
    "version": 2
  }
}