Pith Number

pith:UDR7JD5T

pith:2010:UDR7JD5TEA3PRC2PLXIHQZUPC7

not attested not anchored not stored refs pending

Uncoverings on graphs and network reliability

Brett Stevens, Robert F. Bailey

arxiv:1012.2928 v2 · 2010-12-14 · 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{UDR7JD5TEA3PRC2PLXIHQZUPC7}

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	2026-05-18T04:24:35.022114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e3f48fb32036f88b4f5dd078668f17fc38e3f4d67741e20c178315ea52efbf

Aliases

arxiv: 1012.2928 · arxiv_version: 1012.2928v2 · doi: 10.48550/arxiv.1012.2928 · pith_short_12: UDR7JD5TEA3P · pith_short_16: UDR7JD5TEA3PRC2P · pith_short_8: UDR7JD5T

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/UDR7JD5TEA3PRC2PLXIHQZUPC7 \
  | 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: a0e3f48fb32036f88b4f5dd078668f17fc38e3f4d67741e20c178315ea52efbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6836ea437b22526cd08fb37c89d052428c54b5426c0ac0d7063a9769823d8d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-14T04:40:40Z",
    "title_canon_sha256": "2dbdd56334b7f5800645709ca7af3bc2920eeea82288bff510522fa3e9c2d41b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2928",
    "kind": "arxiv",
    "version": 2
  }
}