Pith Number

pith:4C5LHTKI

pith:2013:4C5LHTKIK2OBH5ZYRUN3C7MKZX

not attested not anchored not stored refs pending

Difference algebraic relations among solutions of linear differential equations

Charlotte Hardouin, Lucia Di Vizio, Michael Wibmer

arxiv:1310.1289 v1 · 2013-10-04 · math.AC · math.AG · math.DS · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C5LHTKIK2OBH5ZYRUN3C7MKZX}

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	2026-05-18T02:18:22.256676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0bab3cd48569c13f7388d1bb17d8acde2aee24b278e6f8768fdb7f3e71ab094

Aliases

arxiv: 1310.1289 · arxiv_version: 1310.1289v1 · doi: 10.48550/arxiv.1310.1289 · pith_short_12: 4C5LHTKIK2OB · pith_short_16: 4C5LHTKIK2OBH5ZY · pith_short_8: 4C5LHTKI

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/4C5LHTKIK2OBH5ZYRUN3C7MKZX \
  | 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: e0bab3cd48569c13f7388d1bb17d8acde2aee24b278e6f8768fdb7f3e71ab094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6eac62ae3598f7e0001c8d11b79e2caa356a7e67f8556fceab846b810c3d3f7",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-04T14:28:19Z",
    "title_canon_sha256": "4309536cc823e97b42cc4b6f7be930ad4d0102110e9b99014c4e51ddfc13d505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1289",
    "kind": "arxiv",
    "version": 1
  }
}