Pith Number

pith:BS4KNW4H

pith:2016:BS4KNW4HRDSNSG5ZIWW642C5PY

not attested not anchored not stored refs pending

A crack induced by a thin rigid inclusion partly debonded from the matrix

S.M. Mkhitaryan, Y.A. Antipov

arxiv:1612.07707 v1 · 2016-12-22 · 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{BS4KNW4HRDSNSG5ZIWW642C5PY}

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	2026-05-18T00:54:09.516356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb8a6db8788e4d91bb945adee685d7e242c883ac8ded2b08080c63cf141c601

Aliases

arxiv: 1612.07707 · arxiv_version: 1612.07707v1 · doi: 10.48550/arxiv.1612.07707 · pith_short_12: BS4KNW4HRDSN · pith_short_16: BS4KNW4HRDSNSG5Z · pith_short_8: BS4KNW4H

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/BS4KNW4HRDSNSG5ZIWW642C5PY \
  | 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: 0cb8a6db8788e4d91bb945adee685d7e242c883ac8ded2b08080c63cf141c601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f5a9a4eda25af5b129f5ca188b1c368522d8e011c5abaaf44e2f57c7461019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-22T17:12:33Z",
    "title_canon_sha256": "6d58c8811c96b8161dd0bb22c2be9ed251e4a6bec83cc98e68043fb04ec2c8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07707",
    "kind": "arxiv",
    "version": 1
  }
}