Pith Number

pith:C54VZ7K3

pith:2013:C54VZ7K3227IXBNBYSZYDK3I6F

not attested not anchored not stored refs pending

Geometrically induced phase transitions in two-dimensional dumbbell-shaped domains

Massimiliano Morini, Valeriy Slastikov

arxiv:1311.4435 v1 · 2013-11-18 · 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{C54VZ7K3227IXBNBYSZYDK3I6F}

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	2026-05-18T03:06:52.696064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17795cfd5bd6be8b85a1c4b381ab68f17e72de7ca5bccdc35e6c59cc90343020

Aliases

arxiv: 1311.4435 · arxiv_version: 1311.4435v1 · doi: 10.48550/arxiv.1311.4435 · pith_short_12: C54VZ7K3227I · pith_short_16: C54VZ7K3227IXBNB · pith_short_8: C54VZ7K3

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/C54VZ7K3227IXBNBYSZYDK3I6F \
  | 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: 17795cfd5bd6be8b85a1c4b381ab68f17e72de7ca5bccdc35e6c59cc90343020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff140304bddea47ff01bcb3b6d9f88f0f813ae2d8b3af3be0f5731ab80cad1ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-18T16:12:18Z",
    "title_canon_sha256": "0737b505561cf9c4032eb3787d8bbfaed4c1e725cb2cb58c9852df9c663e61bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4435",
    "kind": "arxiv",
    "version": 1
  }
}