Pith Number

pith:OSGU3UZE

pith:2004:OSGU3UZEXCU7532Z53MBD4UMJB

not attested not anchored not stored refs pending

Categorification of the braid groups

Raphael Rouquier (IMJ)

arxiv:math/0409593 v1 · 2004-09-30 · 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{OSGU3UZEXCU7532Z53MBD4UMJB}

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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

Stable deformed $\mathfrak{gl}_N$ homology of torus knots

Receipt and verification

First computed	2026-07-04T14:39:07.431004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748d4dd324b8a9feef59eed811f28c486cdf1c1e85b4ed492d87d0e1735cb1d0

Aliases

arxiv: math/0409593 · arxiv_version: math/0409593v1 · doi: 10.48550/arxiv.math/0409593 · pith_short_12: OSGU3UZEXCU7 · pith_short_16: OSGU3UZEXCU7532Z · pith_short_8: OSGU3UZE

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/OSGU3UZEXCU7532Z53MBD4UMJB \
  | 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: 748d4dd324b8a9feef59eed811f28c486cdf1c1e85b4ed492d87d0e1735cb1d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691d78117291538b30f7ca73f1e9de58515eeea74a2d47d0f53a1b097d03d131",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-09-30T06:41:57Z",
    "title_canon_sha256": "de29a42355c1ff99bb2a3a876865dff950a1dacc9d5390351dbc875dbc05855a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409593",
    "kind": "arxiv",
    "version": 1
  }
}