Pith Number

pith:UT7NJHMK

pith:2010:UT7NJHMKNRFIUZQOOGS7Q6GII7

not attested not anchored not stored refs pending

Extensions of witness mappings

Gejza Jen\v{c}a

arxiv:1007.4081 v1 · 2010-07-23 · math-ph · math.MP · 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{UT7NJHMKNRFIUZQOOGS7Q6GII7}

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	2026-05-18T00:53:51.804275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4fed49d8a6c4a8a660e71a5f878c847f0b2381e3445e7be0ae8b649096bcc4b

Aliases

arxiv: 1007.4081 · arxiv_version: 1007.4081v1 · doi: 10.48550/arxiv.1007.4081 · pith_short_12: UT7NJHMKNRFI · pith_short_16: UT7NJHMKNRFIUZQO · pith_short_8: UT7NJHMK

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/UT7NJHMKNRFIUZQOOGS7Q6GII7 \
  | 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: a4fed49d8a6c4a8a660e71a5f878c847f0b2381e3445e7be0ae8b649096bcc4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06546862d559a2f773484e8defb6d6c916ef4d2813dce4ac9fc63c92de4e0677",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-23T09:26:02Z",
    "title_canon_sha256": "15efb05bd7c56760167df645fc7128e867305e5f5ccd1b15290e6ea0411b806e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4081",
    "kind": "arxiv",
    "version": 1
  }
}