Pith Number

pith:2AV5NIR7

pith:2008:2AV5NIR7CKWEEMZ3PN4PM2XINC

not attested not anchored not stored refs pending

A Kinetic Model for Grain Growth

Barbara Niethammer, Juan J.L. Velazquez, Michael Herrmann, Reiner Henseler

arxiv:0807.3529 v1 · 2008-07-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AV5NIR7CKWEEMZ3PN4PM2XINC}

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	2026-07-04T15:35:11.876391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02bd6a23f12ac42333b7b78f66ae86899fd6d2775c421ad29b99cd0b6ecf858

Aliases

arxiv: 0807.3529 · arxiv_version: 0807.3529v1 · doi: 10.48550/arxiv.0807.3529 · pith_short_12: 2AV5NIR7CKWE · pith_short_16: 2AV5NIR7CKWEEMZ3 · pith_short_8: 2AV5NIR7

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/2AV5NIR7CKWEEMZ3PN4PM2XINC \
  | 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: d02bd6a23f12ac42333b7b78f66ae86899fd6d2775c421ad29b99cd0b6ecf858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f40757fa0e224080d965d25c305bea226b5766558e227c1e4aae391be91a000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-07-22T17:56:20Z",
    "title_canon_sha256": "cf85c223b380764fe46c064f2b6c10580d5ba2b3fc3af304766fe382eb132015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3529",
    "kind": "arxiv",
    "version": 1
  }
}