Pith Number

pith:USQ76QTU

pith:2016:USQ76QTUIMRPS2A765DS7HQXBC

not attested not anchored not stored refs pending

Annular Khovanov-Lee homology, braids, and cobordisms

Anthony M. Licata, J. Elisenda Grigsby, Stephan M. Wehrli

arxiv:1612.05953 v1 · 2016-12-18 · math.GT · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USQ76QTUIMRPS2A765DS7HQXBC}

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	2026-05-18T00:54:46.273893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a1ff42744322f9681ff7472f9e1708988b202d100ac0cc16b40a0b2acd2587

Aliases

arxiv: 1612.05953 · arxiv_version: 1612.05953v1 · doi: 10.48550/arxiv.1612.05953 · pith_short_12: USQ76QTUIMRP · pith_short_16: USQ76QTUIMRPS2A7 · pith_short_8: USQ76QTU

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/USQ76QTUIMRPS2A765DS7HQXBC \
  | 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: a4a1ff42744322f9681ff7472f9e1708988b202d100ac0cc16b40a0b2acd2587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16eacc7d66097db1bac3e39131e265ecad4f355dea0b7443997b84921dfe493",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-18T17:21:04Z",
    "title_canon_sha256": "b109c31165829cfb3e0f24805021f495dd6c0f4626564c78655714654347a585"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05953",
    "kind": "arxiv",
    "version": 1
  }
}