Pith Number

pith:YVZYR6LE

pith:2026:YVZYR6LEXWP2TMPMV3AQAFR72P

not attested not anchored not stored refs pending

The boundary-driven multispecies harmonic process

Cristian Giardin\`a, Francesco Casini, Rouven Frassek

arxiv:2607.26262 v1 · 2026-07-28 · math-ph · cond-mat.stat-mech · math.MP · 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{YVZYR6LEXWP2TMPMV3AQAFR72P}

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	2026-07-30T01:17:51.627210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

c57388f964bd9fa9b1ecaec100163fd3c3364670e3729d0eeab07f0565ad3a79

Aliases

arxiv: 2607.26262 · arxiv_version: 2607.26262v1 · doi: 10.48550/arxiv.2607.26262 · pith_short_12: YVZYR6LEXWP2 · pith_short_16: YVZYR6LEXWP2TMPM · pith_short_8: YVZYR6LE

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/YVZYR6LEXWP2TMPMV3AQAFR72P \
  | 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: c57388f964bd9fa9b1ecaec100163fd3c3364670e3729d0eeab07f0565ad3a79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2c3f144085da637daf04b602328abbf8351b4e85f6b0327b7f73c9e5664b18",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-28T20:49:50Z",
    "title_canon_sha256": "5aa629298c109d115c84eb223906e06345e2df8e65e4d1960aed6ca25bd24549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26262",
    "kind": "arxiv",
    "version": 1
  }
}