Pith Number

pith:VAT2JQFO

pith:2026:VAT2JQFOJMNFPGSM6FH2UGE7S3

not attested not anchored not stored refs pending

Sharpness of the avalanche phase transition in the Bak--Sneppen model

Olivier H\'enard

arxiv:2608.10992 v1 · 2026-08-11 · 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{VAT2JQFOJMNFPGSM6FH2UGE7S3}

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	2026-08-12T01:23:58.354915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a827a4c0ae4b1a579a4cf14faa189f96c882349dc184dc75a8b5f139df21b2fa

Aliases

arxiv: 2608.10992 · arxiv_version: 2608.10992v1 · doi: 10.48550/arxiv.2608.10992 · pith_short_12: VAT2JQFOJMNF · pith_short_16: VAT2JQFOJMNFPGSM · pith_short_8: VAT2JQFO

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/VAT2JQFOJMNFPGSM6FH2UGE7S3 \
  | 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: a827a4c0ae4b1a579a4cf14faa189f96c882349dc184dc75a8b5f139df21b2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b04038a44dfa3e154c540deae82a7809513f75f4cdb2906a97fa3b45e36a44d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-11T14:45:25Z",
    "title_canon_sha256": "5b2c76fadd89db822d84a5d60a32242af76496b86dac4e2f82b6756fcc5329ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10992",
    "kind": "arxiv",
    "version": 1
  }
}