Pith Number

pith:7TXPSI5T

pith:2012:7TXPSI5THSZYIN6PWHFB4T4I6P

not attested not anchored not stored refs pending

Khovanov-Rozansky homology and 2-braid groups

Rapha\"el Rouquier

arxiv:1203.5065 v1 · 2012-03-22 · 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{7TXPSI5THSZYIN6PWHFB4T4I6P}

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	2026-05-18T03:59:28.012832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fceef923b33cb38437cfb1ca1e4f88f3f98044be939d9bc4eb5e8fdcf9c0cee0

Aliases

arxiv: 1203.5065 · arxiv_version: 1203.5065v1 · doi: 10.48550/arxiv.1203.5065 · pith_short_12: 7TXPSI5THSZY · pith_short_16: 7TXPSI5THSZYIN6P · pith_short_8: 7TXPSI5T

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/7TXPSI5THSZYIN6PWHFB4T4I6P \
  | 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: fceef923b33cb38437cfb1ca1e4f88f3f98044be939d9bc4eb5e8fdcf9c0cee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd41114a10443b3378bb5aeccadb63de22c3e439e4c1ae0e498e19dba72888a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-03-22T18:08:37Z",
    "title_canon_sha256": "582242eb8615a36f22a7e43f33606dd658a71dd4f98bc8b179bde44cc4eeb26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5065",
    "kind": "arxiv",
    "version": 1
  }
}