Pith Number

pith:XMSDKSVQ

pith:2015:XMSDKSVQBZZMNPQCMU57V45CXM

not attested not anchored not stored refs pending

Combinatorial Micro-Macro Dynamical Systems

Rafael Diaz, Sergio Villamarin

arxiv:1507.06703 v2 · 2015-07-23 · math.CO · cond-mat.stat-mech · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMSDKSVQBZZMNPQCMU57V45CXM}

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	2026-05-18T00:41:46.724144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb24354ab00e72c6be02653bfaf3a2bb2ba416397dcbd9f0a9d253cdc12f7a36

Aliases

arxiv: 1507.06703 · arxiv_version: 1507.06703v2 · doi: 10.48550/arxiv.1507.06703 · pith_short_12: XMSDKSVQBZZM · pith_short_16: XMSDKSVQBZZMNPQC · pith_short_8: XMSDKSVQ

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/XMSDKSVQBZZMNPQCMU57V45CXM \
  | 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: bb24354ab00e72c6be02653bfaf3a2bb2ba416397dcbd9f0a9d253cdc12f7a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401c05e057e8547d427c5ec492e8efc2d93e76af6bfb396a66c4277b0f1163af",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-23T23:44:24Z",
    "title_canon_sha256": "fe502c5b7f2f2f70aad0870efc41508464ef9ec9f18698c60b3e4fba5aade71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06703",
    "kind": "arxiv",
    "version": 2
  }
}