Pith Number

pith:XMIVTYJR

pith:2010:XMIVTYJR6NZCFNSN4YCULRB3AC

not attested not anchored not stored refs pending

Euler Integration of Gaussian Random Fields and Persistent Homology

Matthew Strom Borman, Omer Bobrowski

arxiv:1003.5175 v3 · 2010-03-26 · math.PR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMIVTYJR6NZCFNSN4YCULRB3AC}

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	2026-05-18T02:24:26.556220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1159e131f37222b64de60545c43b008a5193b38291e9e128296277f035aff0

Aliases

arxiv: 1003.5175 · arxiv_version: 1003.5175v3 · doi: 10.48550/arxiv.1003.5175 · pith_short_12: XMIVTYJR6NZC · pith_short_16: XMIVTYJR6NZCFNSN · pith_short_8: XMIVTYJR

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/XMIVTYJR6NZCFNSN4YCULRB3AC \
  | 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: bb1159e131f37222b64de60545c43b008a5193b38291e9e128296277f035aff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93dec5dbc131063f634844426537377646b0319d604738eb00abcff7ea1652fb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-26T16:08:10Z",
    "title_canon_sha256": "fc0dd170c4f3a34ac0ab9bcae9efbecc5b5d99e102dc85803354bd2fa464f2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5175",
    "kind": "arxiv",
    "version": 3
  }
}