Pith Number

pith:OSLQORF4

pith:2009:OSLQORF4YETWBF53ETXGVXYEWJ

not attested not anchored not stored refs pending

Euler integration over definable functions

R. Ghrist, Y. Baryshnikov

arxiv:0909.4054 v1 · 2009-09-22 · math.GN · math.LO · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSLQORF4YETWBF53ETXGVXYEWJ}

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	2026-05-18T02:11:45.212795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74970744bcc1276097bb24ee6adf04b2572b44ee3a8fc3250c3f1717f37fbe2f

Aliases

arxiv: 0909.4054 · arxiv_version: 0909.4054v1 · doi: 10.48550/arxiv.0909.4054 · pith_short_12: OSLQORF4YETW · pith_short_16: OSLQORF4YETWBF53 · pith_short_8: OSLQORF4

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/OSLQORF4YETWBF53ETXGVXYEWJ \
  | 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: 74970744bcc1276097bb24ee6adf04b2572b44ee3a8fc3250c3f1717f37fbe2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5872f3c517ad0b70eedd938f17535a68fe80f17b0cd22c47c301e5868534bc",
    "cross_cats_sorted": [
      "math.LO",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2009-09-22T17:48:37Z",
    "title_canon_sha256": "2c4cdc6cb261cd81c60416a7bd88635b7e6354996bf28aed36080ed359ede78e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4054",
    "kind": "arxiv",
    "version": 1
  }
}