Pith Number

pith:42V3BJNF

pith:2011:42V3BJNF5P4MRXDIFYAA4JCDYW

not attested not anchored not stored refs pending

A quantitative second order minimality criterion for cavities in elastic bodies

Giovanni Pisante, Giuseppe Maria Capriani, Vesa Julin

arxiv:1112.2482 v3 · 2011-12-12 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42V3BJNF5P4MRXDIFYAA4JCDYW}

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	2026-05-18T03:29:03.957059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6abb0a5a5ebf8c8dc682e000e2443c5901014834c0536cbd1bd5b0b2460c749

Aliases

arxiv: 1112.2482 · arxiv_version: 1112.2482v3 · doi: 10.48550/arxiv.1112.2482 · pith_short_12: 42V3BJNF5P4M · pith_short_16: 42V3BJNF5P4MRXDI · pith_short_8: 42V3BJNF

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/42V3BJNF5P4MRXDIFYAA4JCDYW \
  | 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: e6abb0a5a5ebf8c8dc682e000e2443c5901014834c0536cbd1bd5b0b2460c749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99443e27b5ce7cf5d4977150f5fa97548f602a7a44085fb8cdeeca7bb7b63ea6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-12T09:35:02Z",
    "title_canon_sha256": "e6b25c5dd80d4786f556933e318a75e97634d3404343765cb99892bc6ac3a095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2482",
    "kind": "arxiv",
    "version": 3
  }
}