Pith Number

pith:TORLRRNM

pith:2004:TORLRRNMOJCF3PFLFHWSVOZIZZ

not attested not anchored not stored refs pending

Bigraded structures and the depth of blow-up algebras

Gemma Colom\'e-Nin, Juan Elias

arxiv:math/0405344 v2 · 2004-05-18 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TORLRRNMOJCF3PFLFHWSVOZIZZ}

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	2026-05-18T01:05:26.364441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba2b8c5ac72445dbcab29ed2abb28ce5d3e588d4dd34533f87295c393d39fc7

Aliases

arxiv: math/0405344 · arxiv_version: math/0405344v2 · doi: 10.48550/arxiv.math/0405344 · pith_short_12: TORLRRNMOJCF · pith_short_16: TORLRRNMOJCF3PFL · pith_short_8: TORLRRNM

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/TORLRRNMOJCF3PFLFHWSVOZIZZ \
  | 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: 9ba2b8c5ac72445dbcab29ed2abb28ce5d3e588d4dd34533f87295c393d39fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adaea9d4d9517745006e3faf2f2512b145d54f729e28422701b92cd1c8c7a93f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2004-05-18T07:03:05Z",
    "title_canon_sha256": "66c7a754af24617f19c605a436630f737454d27c086b1dbb64ceda4cab93780f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405344",
    "kind": "arxiv",
    "version": 2
  }
}