Pith Number

pith:PJ4YTAPC

pith:2015:PJ4YTAPCC4EWCZHUY3WDQZCYIG

not attested not anchored not stored refs pending

Finite plasticity in $P^T P$

Diego Grandi, Ulisse Stefanelli

arxiv:1509.08681 v1 · 2015-09-29 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ4YTAPCC4EWCZHUY3WDQZCYIG}

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	2026-05-18T01:31:47.320653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a798981e217096164f4c6ec38645841be87f31c33d7bfad134455f1f342af7d

Aliases

arxiv: 1509.08681 · arxiv_version: 1509.08681v1 · doi: 10.48550/arxiv.1509.08681 · pith_short_12: PJ4YTAPCC4EW · pith_short_16: PJ4YTAPCC4EWCZHU · pith_short_8: PJ4YTAPC

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/PJ4YTAPCC4EWCZHUY3WDQZCYIG \
  | 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: 7a798981e217096164f4c6ec38645841be87f31c33d7bfad134455f1f342af7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "254d7b6aca52e66c6767a4924a2ad41ed8af31c4cac2f298171367338dbdbdf2",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-09-29T10:47:33Z",
    "title_canon_sha256": "b0c25a3ab3456e8ad8d489e37ec4d9c8830cec81bd56bf5859e4ca6481e69ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08681",
    "kind": "arxiv",
    "version": 1
  }
}