Pith Number

pith:5T2OY7P4

pith:2011:5T2OY7P4VRA4FAN446KTE7WPBF

not attested not anchored not stored refs pending

Self-similar Solutions to a Kinetic Model for Grain Growth

Barbara Niethammer, Michael Herrmann, Philippe Lauren\c{c}ot

arxiv:1107.3712 v1 · 2011-07-15 · 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{5T2OY7P4VRA4FAN446KTE7WPBF}

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	2026-05-18T03:28:54.248576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf4ec7dfcac41c281bce795327ecf096d58cae5c9f93789fcbf1e02d8b41f43

Aliases

arxiv: 1107.3712 · arxiv_version: 1107.3712v1 · doi: 10.48550/arxiv.1107.3712 · pith_short_12: 5T2OY7P4VRA4 · pith_short_16: 5T2OY7P4VRA4FAN4 · pith_short_8: 5T2OY7P4

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/5T2OY7P4VRA4FAN446KTE7WPBF \
  | 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: ecf4ec7dfcac41c281bce795327ecf096d58cae5c9f93789fcbf1e02d8b41f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a9c1346db64e97aaa272fcbe726ddac4221048deaada8657b9da33320b634b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-15T16:43:44Z",
    "title_canon_sha256": "483cb8d0f491beaeeb62e17781d6396bc1342a0cdef76b7a33dc19b1581b70ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3712",
    "kind": "arxiv",
    "version": 1
  }
}