Pith Number

pith:Z52QBRJW

pith:2010:Z52QBRJWPM7HSZOPRWHZTO23RS

not attested not anchored not stored refs pending

Closure method for spatially averaged dynamics of particle chains

Alexander Panchenko, Lyudmyla L. Barannyk, Robert P. Gilbert

arxiv:1010.4832 v1 · 2010-10-23 · math-ph · cond-mat.dis-nn · math.CA · math.MP · math.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z52QBRJWPM7HSZOPRWHZTO23RS}

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	2026-05-18T04:38:50.091222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7500c5367b3e7965cf8d8f99bb5b8ca1048a68ef42dcefcd4802ebbf542490

Aliases

arxiv: 1010.4832 · arxiv_version: 1010.4832v1 · doi: 10.48550/arxiv.1010.4832 · pith_short_12: Z52QBRJWPM7H · pith_short_16: Z52QBRJWPM7HSZOP · pith_short_8: Z52QBRJW

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/Z52QBRJWPM7HSZOPRWHZTO23RS \
  | 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: cf7500c5367b3e7965cf8d8f99bb5b8ca1048a68ef42dcefcd4802ebbf542490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f9e2a47aae21421be4847415af38324789e8792a7c470a0f9c8832f6a9d099f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.CA",
      "math.MP",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-23T00:15:26Z",
    "title_canon_sha256": "c38104abd6df8dbf383d6d1db28f5077ac5d1bddcb989f9a5212bd0779cbe603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4832",
    "kind": "arxiv",
    "version": 1
  }
}