Pith Number

pith:RRPM3CIE

pith:2007:RRPM3CIEGD4ZX3FCPVBJVJOXAQ

not attested not anchored not stored refs pending

Fixing the functoriality of Khovanov homology

David Clark, Kevin Walker, Scott Morrison

arxiv:math/0701339 v2 · 2007-01-12 · 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{RRPM3CIEGD4ZX3FCPVBJVJOXAQ}

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

Categorification of some Penrose polynomials

Receipt and verification

First computed	2026-05-18T02:37:59.416622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c5ecd890430f99beca27d429aa5d70418baa87a11e2ec8d7adb46214e6340db

Aliases

arxiv: math/0701339 · arxiv_version: math/0701339v2 · doi: 10.48550/arxiv.math/0701339 · pith_short_12: RRPM3CIEGD4Z · pith_short_16: RRPM3CIEGD4ZX3FC · pith_short_8: RRPM3CIE

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/RRPM3CIEGD4ZX3FCPVBJVJOXAQ \
  | 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: 8c5ecd890430f99beca27d429aa5d70418baa87a11e2ec8d7adb46214e6340db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d14cc8efa47fb44d9a81f981be24592456c4d36247d918f40f6d5a24954654",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-01-12T06:53:23Z",
    "title_canon_sha256": "c32f9914327f53a7ada4ebef7bf2f5c5bc3d74cdf14c20be15ebb7c3fa09ec46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701339",
    "kind": "arxiv",
    "version": 2
  }
}