Pith Number

pith:SIRLXTYJ

pith:2025:SIRLXTYJNYTV55JV6ALLPWYGAQ

not attested not anchored not stored refs pending

Fluid limit and gelation in the frozen Erd\H{o}s-R\'enyi random graph

B\'en\'edicte Haas, Vincent Viau

arxiv:2502.01424 v1 · 2025-02-03 · 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{SIRLXTYJNYTV55JV6ALLPWYGAQ}

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	2026-07-05T10:08:46.919011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9222bbcf096e275ef535f016b7db0604286fbf0c046a2720d4b6d5ce373fadf0

Aliases

arxiv: 2502.01424 · arxiv_version: 2502.01424v1 · doi: 10.48550/arxiv.2502.01424 · pith_short_12: SIRLXTYJNYTV · pith_short_16: SIRLXTYJNYTV55JV · pith_short_8: SIRLXTYJ

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/SIRLXTYJNYTV55JV6ALLPWYGAQ \
  | 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: 9222bbcf096e275ef535f016b7db0604286fbf0c046a2720d4b6d5ce373fadf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "012734506838a5ca82670154f5672bb3defc6a47355b34506ee2fab98e93b882",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-03T15:03:40Z",
    "title_canon_sha256": "b4198aad9524dd9c0f6ee2c9d5b442c49fce5a4d1702d0be8b13d0ef41418e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01424",
    "kind": "arxiv",
    "version": 1
  }
}