Pith Number

pith:52G3L62M

pith:2014:52G3L62MV5IYOGVEVLH4K3ZXDQ

not attested not anchored not stored refs pending

Knot homology via derived categories of coherent sheaves IV, coloured links

Joel Kamnitzer, Sabin Cautis

arxiv:1410.7156 v1 · 2014-10-27 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52G3L62MV5IYOGVEVLH4K3ZXDQ}

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	2026-05-18T02:39:17.917113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8db5fb4caf51871aa4aacfc56f371c0e58fde7930cbd534f8f57e9a2c2ac5a

Aliases

arxiv: 1410.7156 · arxiv_version: 1410.7156v1 · doi: 10.48550/arxiv.1410.7156 · pith_short_12: 52G3L62MV5IY · pith_short_16: 52G3L62MV5IYOGVE · pith_short_8: 52G3L62M

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/52G3L62MV5IYOGVEVLH4K3ZXDQ \
  | 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: ee8db5fb4caf51871aa4aacfc56f371c0e58fde7930cbd534f8f57e9a2c2ac5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee394256fdc4447cf14937087fade54f275df879c4b6a425fbac5e7348972990",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-27T09:05:38Z",
    "title_canon_sha256": "ff3294d65975218c59a61a3abc50a7885983fdc4d80aeb67f6ef5211b1198911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7156",
    "kind": "arxiv",
    "version": 1
  }
}