Pith Number

pith:UMVD6EWI

pith:2013:UMVD6EWIKXGS2LMEUAP6H6K5AZ

not attested not anchored not stored refs pending

Random Subgraphs in Sparse Graphs

Felix Joos

arxiv:1312.0732 v1 · 2013-12-03 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMVD6EWIKXGS2LMEUAP6H6K5AZ}

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	2026-05-18T03:05:36.856893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32a3f12c855cd2d2d84a01fe3f95d06691b9bca90913dd4f9b9e28e651f66c4

Aliases

arxiv: 1312.0732 · arxiv_version: 1312.0732v1 · doi: 10.48550/arxiv.1312.0732 · pith_short_12: UMVD6EWIKXGS · pith_short_16: UMVD6EWIKXGS2LME · pith_short_8: UMVD6EWI

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/UMVD6EWIKXGS2LMEUAP6H6K5AZ \
  | 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: a32a3f12c855cd2d2d84a01fe3f95d06691b9bca90913dd4f9b9e28e651f66c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0ca418ed790751b736c06115116c8b54aa6e16bd3e1c44088986303219b96a9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-03T08:53:16Z",
    "title_canon_sha256": "16c52172b1b9da651500775bc36aa5fefc09bda1cabd22e281be8bf945c9fcf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0732",
    "kind": "arxiv",
    "version": 1
  }
}