Pith Number

pith:35MMFZ3S

pith:2026:35MMFZ3SS4SE7VOIQSFBOHI43H

not attested not anchored not stored refs pending

Network evolution with self-reinforcement

Frank den Hollander, Remco van der Hofstad, Rounak Ray, Shankar Bhamidi

arxiv:2605.21459 v1 · 2026-05-20 · 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{35MMFZ3SS4SE7VOIQSFBOHI43H}

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	2026-05-21T02:05:38.265207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df58c2e77297244fd5c8848a171d1cd9f6a1124a7a8d7c656ac2498d412efcd8

Aliases

arxiv: 2605.21459 · arxiv_version: 2605.21459v1 · doi: 10.48550/arxiv.2605.21459 · pith_short_12: 35MMFZ3SS4SE · pith_short_16: 35MMFZ3SS4SE7VOI · pith_short_8: 35MMFZ3S

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/35MMFZ3SS4SE7VOIQSFBOHI43H \
  | 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: df58c2e77297244fd5c8848a171d1cd9f6a1124a7a8d7c656ac2498d412efcd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fb7387fc9f233eb15659ea699b26a635be3116786adedf0ce6b7a4deffe4653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-20T17:48:59Z",
    "title_canon_sha256": "8bde0cc3c48824c23bab9da57f5f2703fc7b143ee499f01a12e7d679263e684e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21459",
    "kind": "arxiv",
    "version": 1
  }
}