Pith Number

pith:JIXNKCQT

pith:2017:JIXNKCQTVJ7CJYLXE255V2SX64

not attested not anchored not stored refs pending

Large-scale structures in random graphs

Julia B\"ottcher

arxiv:1702.02648 v1 · 2017-02-08 · 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{JIXNKCQTVJ7CJYLXE255V2SX64}

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	2026-05-18T00:51:03.801638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a2ed50a13aa7e24e17726bbdaea57f734b34cb4359f1133dc9521069ffc1413

Aliases

arxiv: 1702.02648 · arxiv_version: 1702.02648v1 · doi: 10.48550/arxiv.1702.02648 · pith_short_12: JIXNKCQTVJ7C · pith_short_16: JIXNKCQTVJ7CJYLX · pith_short_8: JIXNKCQT

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/JIXNKCQTVJ7CJYLXE255V2SX64 \
  | 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: 4a2ed50a13aa7e24e17726bbdaea57f734b34cb4359f1133dc9521069ffc1413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b039a36a98a3796e371dd109b0ca08474ec223a1435a6f1b20d0323afc6465",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-08T23:00:10Z",
    "title_canon_sha256": "562713970bf7cb0858fbd6d10d2434163da45d40db9d4d141b7274be3304a264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02648",
    "kind": "arxiv",
    "version": 1
  }
}