Pith Number

pith:527ZZIOE

pith:2009:527ZZIOEJDM7END7EKFVBGIUVI

not attested not anchored not stored refs pending

A characterization of representable intervals

Michael A. Warren

arxiv:0903.3743 v2 · 2009-03-22 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{527ZZIOEJDM7END7EKFVBGIUVI}

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	2026-05-18T03:55:01.873181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eebf9ca1c448d9f2347f228b509914aa1f0a32090d04e738fab175c1542aac3e

Aliases

arxiv: 0903.3743 · arxiv_version: 0903.3743v2 · doi: 10.48550/arxiv.0903.3743 · pith_short_12: 527ZZIOEJDM7 · pith_short_16: 527ZZIOEJDM7END7 · pith_short_8: 527ZZIOE

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/527ZZIOEJDM7END7EKFVBGIUVI \
  | 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: eebf9ca1c448d9f2347f228b509914aa1f0a32090d04e738fab175c1542aac3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25b31b4b6530b5997a6ab2c2d2d8455c3d6a672f76dbe0290a9d442f5f9043d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-03-22T17:30:41Z",
    "title_canon_sha256": "503a3c236dcb9e96d97552ce46fb4b0e9125e0a49353b66c2b433ad5a0fec3dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3743",
    "kind": "arxiv",
    "version": 2
  }
}