Pith Number

pith:UTSY2F3F

pith:2016:UTSY2F3F32TMBYQUT4QPHYYSXO

not attested not anchored not stored refs pending

Large subgraphs in pseudo-random graphs

Andrew Nobel, Anirban Basak, Shankar Bhamidi, Suman Chakraborty

arxiv:1610.03762 v1 · 2016-10-12 · math.PR · 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{UTSY2F3F32TMBYQUT4QPHYYSXO}

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	2026-05-18T01:02:29.322481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e58d1765dea6c0e2149f20f3e312bbb1fd50fc161cc871bed5ff9198540315

Aliases

arxiv: 1610.03762 · arxiv_version: 1610.03762v1 · doi: 10.48550/arxiv.1610.03762 · pith_short_12: UTSY2F3F32TM · pith_short_16: UTSY2F3F32TMBYQU · pith_short_8: UTSY2F3F

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/UTSY2F3F32TMBYQUT4QPHYYSXO \
  | 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: a4e58d1765dea6c0e2149f20f3e312bbb1fd50fc161cc871bed5ff9198540315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5811a879ab75258fa918898097b3b0dcccb6d2488db3b907bf2cb38491be2f2f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-12T15:56:02Z",
    "title_canon_sha256": "672da3ebc6e01c7e0c18765c7c41386741f96ec1300dca492b87fe7853ded823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03762",
    "kind": "arxiv",
    "version": 1
  }
}