Pith Number

pith:I4JFH3WQ

pith:2011:I4JFH3WQYCXKQ32LZJ23CF5GVJ

not attested not anchored not stored refs pending

Logarithmic Hesse's Problem

Thiago Fassarella

arxiv:1102.1659 v1 · 2011-02-08 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4JFH3WQYCXKQ32LZJ23CF5GVJ}

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	2026-05-18T04:29:52.790341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471253eed0c0aea86f4bca75b117a6aa6582f5c418201f6a98bfa9aa628842f5

Aliases

arxiv: 1102.1659 · arxiv_version: 1102.1659v1 · doi: 10.48550/arxiv.1102.1659 · pith_short_12: I4JFH3WQYCXK · pith_short_16: I4JFH3WQYCXKQ32L · pith_short_8: I4JFH3WQ

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/I4JFH3WQYCXKQ32LZJ23CF5GVJ \
  | 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: 471253eed0c0aea86f4bca75b117a6aa6582f5c418201f6a98bfa9aa628842f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11dd6b93365fbf68b4da85908299e2deab8bdb5e6f54b3de440232990f90dc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-08T17:01:08Z",
    "title_canon_sha256": "5beebf3b0f5195787dc38482f6c2cba0866407c4ce17a638d48d35e1777920d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1659",
    "kind": "arxiv",
    "version": 1
  }
}