Pith Number

pith:OPCR27HN

pith:2013:OPCR27HNDGRRBEXQAFAO3CTFHZ

not attested not anchored not stored refs pending

Discrete Homology Theory for Metric Spaces

Helene Barcelo, Jacob A. White, Valerio Capraro

arxiv:1306.3915 v2 · 2013-06-17 · math.MG · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPCR27HNDGRRBEXQAFAO3CTFHZ}

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	2026-05-18T00:44:29.723865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73c51d7ced19a31092f00140ed8a653e7d6bfc7c9ab88a2ca2ecb9f9d56e4c2d

Aliases

arxiv: 1306.3915 · arxiv_version: 1306.3915v2 · doi: 10.48550/arxiv.1306.3915 · pith_short_12: OPCR27HNDGRR · pith_short_16: OPCR27HNDGRRBEXQ · pith_short_8: OPCR27HN

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/OPCR27HNDGRRBEXQAFAO3CTFHZ \
  | 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: 73c51d7ced19a31092f00140ed8a653e7d6bfc7c9ab88a2ca2ecb9f9d56e4c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4fe682430b9e1ddd456fe7f5e03120c563a9828c7dd5cc626c1a67f0f503c2",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-17T16:17:00Z",
    "title_canon_sha256": "8e6ea94b1de9ff63e44b2d4246e582c19a472d1e029b02ab11085af36ae1836d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3915",
    "kind": "arxiv",
    "version": 2
  }
}