Pith Number

pith:AZU3FD3K

pith:2011:AZU3FD3KVPKRS3R6G2OKIZMLTM

not attested not anchored not stored refs pending

Khovanov homology theories and their applications

Alexander Shumakovitch

arxiv:1101.5614 v1 · 2011-01-28 · 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{AZU3FD3KVPKRS3R6G2OKIZMLTM}

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	2026-05-18T04:30:34.662687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0669b28f6aabd5196e3e369ca4658b9b1eab8f4c447847a8415eb2ce6e8b0699

Aliases

arxiv: 1101.5614 · arxiv_version: 1101.5614v1 · doi: 10.48550/arxiv.1101.5614 · pith_short_12: AZU3FD3KVPKR · pith_short_16: AZU3FD3KVPKRS3R6 · pith_short_8: AZU3FD3K

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/AZU3FD3KVPKRS3R6G2OKIZMLTM \
  | 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: 0669b28f6aabd5196e3e369ca4658b9b1eab8f4c447847a8415eb2ce6e8b0699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd4ea1cca3ffe74461d873fc505bbf32160f869c404d3d01501c73f77eefe00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-28T20:06:38Z",
    "title_canon_sha256": "af9537d6249a18aa5f71fc46132c9a5f5d06c0c8f81f28f6f8723d18a04cbabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5614",
    "kind": "arxiv",
    "version": 1
  }
}