Pith Number

pith:E2UTN5ZR

pith:2012:E2UTN5ZRWG27SL3WQVEESHILPX

not attested not anchored not stored refs pending

Means in complete manifolds: uniqueness and approximation

Laurent Miclo (IMT), Marc Arnaudon (LMA)

arxiv:1207.3232 v1 · 2012-07-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2UTN5ZRWG27SL3WQVEESHILPX}

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	2026-05-18T03:51:03.041656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a936f731b1b5f92f768548491d0b7df65e3162d3909704cc5b6d31d3fbe1c8

Aliases

arxiv: 1207.3232 · arxiv_version: 1207.3232v1 · doi: 10.48550/arxiv.1207.3232 · pith_short_12: E2UTN5ZRWG27 · pith_short_16: E2UTN5ZRWG27SL3W · pith_short_8: E2UTN5ZR

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/E2UTN5ZRWG27SL3WQVEESHILPX \
  | 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: 26a936f731b1b5f92f768548491d0b7df65e3162d3909704cc5b6d31d3fbe1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeaacfb1bf8cc440c4efbf9696d2e145b909f577ab8d203b938edbdf576ef052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-13T13:12:29Z",
    "title_canon_sha256": "59329ac8a994ff6320a2f20caaef7b74b2729c67e2a70161f276b23ebef7db24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3232",
    "kind": "arxiv",
    "version": 1
  }
}