Pith Number

pith:IMZKJUDI

pith:1992:IMZKJUDIZIQE6VOYPT52GMU6S3

not attested not anchored not stored refs pending

Fast-diffusion mean-field theory for k-body reactions in one dimension

M. D. Grynberg, V. Privman

arxiv:cond-mat/9207015 v1 · 1992-07-15 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMZKJUDIZIQE6VOYPT52GMU6S3}

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	2026-05-18T02:40:19.330835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4332a4d068ca204f55d87cfba3329e96f315143ce756df1a3cef30a44185075d

Aliases

arxiv: cond-mat/9207015 · arxiv_version: cond-mat/9207015v1 · doi: 10.48550/arxiv.cond-mat/9207015 · pith_short_12: IMZKJUDIZIQE · pith_short_16: IMZKJUDIZIQE6VOY · pith_short_8: IMZKJUDI

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/IMZKJUDIZIQE6VOYPT52GMU6S3 \
  | 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: 4332a4d068ca204f55d87cfba3329e96f315143ce756df1a3cef30a44185075d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8734b55e0660254e3a23219e05f52f52d843120dcb1f6151726f544ec61972ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1992-07-15T14:40:34Z",
    "title_canon_sha256": "ca650bffdcfa0760d1559e639d5909b9c1ab5b8162cd1f58aef45ebda42353c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9207015",
    "kind": "arxiv",
    "version": 1
  }
}