Pith Number

pith:XD33O7TQ

pith:2011:XD33O7TQW5BSPSBJV557F5SW3C

not attested not anchored not stored refs pending

Localization principle and relaxation

Jean-Philippe Mandallena

arxiv:1107.0072 v3 · 2011-06-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XD33O7TQW5BSPSBJV557F5SW3C}

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	2026-05-18T03:34:35.912663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f7b77e70b74327c829af7bf2f656d8bd192b5cc8a08003c232022b9823cf3f

Aliases

arxiv: 1107.0072 · arxiv_version: 1107.0072v3 · doi: 10.48550/arxiv.1107.0072 · pith_short_12: XD33O7TQW5BS · pith_short_16: XD33O7TQW5BSPSBJ · pith_short_8: XD33O7TQ

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/XD33O7TQW5BSPSBJV557F5SW3C \
  | 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: b8f7b77e70b74327c829af7bf2f656d8bd192b5cc8a08003c232022b9823cf3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd57ed267621b343022b434dffd6387f354c7907c351659b6f3ff8cc16a7e51e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-30T21:55:33Z",
    "title_canon_sha256": "8a33195686ad81b5a37225def97864b4db632864626ab18b6e255f5b097f6840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0072",
    "kind": "arxiv",
    "version": 3
  }
}