Pith Number

pith:IE5P4D2G

pith:2008:IE5P4D2GLY25KBODX7QPOEEH2J

not attested not anchored not stored refs pending

Algebraic Birkhoff decomposition and its applications

Li Guo

arxiv:0807.2266 v1 · 2008-07-14 · math.RA · math-ph · math.CO · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IE5P4D2GLY25KBODX7QPOEEH2J}

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	2026-05-18T03:34:46.768914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

413afe0f465e35d505c3bfe0f71087d27a61cefe0099658e5f4a87a7781f8f11

Aliases

arxiv: 0807.2266 · arxiv_version: 0807.2266v1 · doi: 10.48550/arxiv.0807.2266 · pith_short_12: IE5P4D2GLY25 · pith_short_16: IE5P4D2GLY25KBOD · pith_short_8: IE5P4D2G

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/IE5P4D2GLY25KBODX7QPOEEH2J \
  | 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: 413afe0f465e35d505c3bfe0f71087d27a61cefe0099658e5f4a87a7781f8f11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1cddcc7a455bfac054e462743345b44d22575a8290ff34052647a6940d6696",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-07-14T21:37:50Z",
    "title_canon_sha256": "6b1d9aa6d4fe11bdaad0b7497950baea123bef4101c722061babb0d584e499dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2266",
    "kind": "arxiv",
    "version": 1
  }
}