Pith Number

pith:SEPTE6F5

pith:2013:SEPTE6F5TAW7Q7IS5WADKCWTK4

not attested not anchored not stored refs pending

Dynamic discrete model for the granular matter formation process

Alexander Khapalov, Sergey Lapin

arxiv:1312.2038 v1 · 2013-12-06 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEPTE6F5TAW7Q7IS5WADKCWTK4}

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	2026-05-18T03:05:17.516530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

911f3278bd982df87d12ed80350ad3573c9da8cb37b062ccd0cbec37ede0f613

Aliases

arxiv: 1312.2038 · arxiv_version: 1312.2038v1 · doi: 10.48550/arxiv.1312.2038 · pith_short_12: SEPTE6F5TAW7 · pith_short_16: SEPTE6F5TAW7Q7IS · pith_short_8: SEPTE6F5

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/SEPTE6F5TAW7Q7IS5WADKCWTK4 \
  | 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: 911f3278bd982df87d12ed80350ad3573c9da8cb37b062ccd0cbec37ede0f613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8119d3fd69bf6d961fbf2dc0b461e0822047e83d7fcf6312ba963e5c7e3437d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-06T23:38:08Z",
    "title_canon_sha256": "f68ed8ace3b28af6fec53f1928808af05ca39c76725acd6fd51d195ac79d08c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2038",
    "kind": "arxiv",
    "version": 1
  }
}