Pith Number

pith:ATOJC3BA

pith:2013:ATOJC3BAQH3XPYEGRM4AFCF54J

not attested not anchored not stored refs pending

Asymptotic properties of a random graph with duplications

\'Agnes Backhausz, Tam\'as F. M\'ori

arxiv:1308.1506 v3 · 2013-08-07 · 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{ATOJC3BAQH3XPYEGRM4AFCF54J}

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	2026-05-18T02:38:26.637552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04dc916c2081f777e0868b380288bde2440b68a46339947d9c7d9a6c7fe8c4c5

Aliases

arxiv: 1308.1506 · arxiv_version: 1308.1506v3 · doi: 10.48550/arxiv.1308.1506 · pith_short_12: ATOJC3BAQH3X · pith_short_16: ATOJC3BAQH3XPYEG · pith_short_8: ATOJC3BA

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/ATOJC3BAQH3XPYEGRM4AFCF54J \
  | 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: 04dc916c2081f777e0868b380288bde2440b68a46339947d9c7d9a6c7fe8c4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168cf19f94af7c55986bacc1bbf631dc7278e570a823937ac899f25f1a6aeaf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-07T08:55:54Z",
    "title_canon_sha256": "53c681a106a2df13eb29a52bf311989a57405b65f3fbb4783ee35f7bf209504f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1506",
    "kind": "arxiv",
    "version": 3
  }
}