Pith Number

pith:EKA7SYZB

pith:2025:EKA7SYZB5LQ6FMOFLZA33AN2UC

not attested not anchored not stored refs pending

Phase transitions for contact processes on sparse random graphs via metastability and local limits

Benedikt Jahnel, Christian M\"onch, Lukas L\"uchtrath

arxiv:2505.22471 v2 · 2025-05-28 · 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{EKA7SYZB5LQ6FMOFLZA33AN2UC}

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	2026-06-19T16:11:11.118882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2281f96321eae1e2b1c55e41bd81baa0a66ab0da593842ab65e57abee40946c0

Aliases

arxiv: 2505.22471 · arxiv_version: 2505.22471v2 · doi: 10.48550/arxiv.2505.22471 · pith_short_12: EKA7SYZB5LQ6 · pith_short_16: EKA7SYZB5LQ6FMOF · pith_short_8: EKA7SYZB

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/EKA7SYZB5LQ6FMOFLZA33AN2UC \
  | 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: 2281f96321eae1e2b1c55e41bd81baa0a66ab0da593842ab65e57abee40946c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847e29db9bd2dbd30add6c679998160a27aea135c20dad9d63526548936eba52",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-28T15:23:13Z",
    "title_canon_sha256": "369cda71c305a1c0351d0e158ce6c772cc672deaebf1d8125196658fb4ad6543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22471",
    "kind": "arxiv",
    "version": 2
  }
}