Pith Number

pith:FV54FF4S

pith:2011:FV54FF4SZXRCBHNRSBTOBXQEVK

not attested not anchored not stored refs pending

Nonlocal interactions by repulsive-attractive potentials: radial ins/stability

D. Balague, G. Raoul, J. A. Carrillo, T. Laurent

arxiv:1109.5258 v1 · 2011-09-24 · 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{FV54FF4SZXRCBHNRSBTOBXQEVK}

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	2026-05-18T04:12:20.226851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7bc29792cde2209db19066e0de04aaa720334940c6085f05e259ce6e23b31c

Aliases

arxiv: 1109.5258 · arxiv_version: 1109.5258v1 · doi: 10.48550/arxiv.1109.5258 · pith_short_12: FV54FF4SZXRC · pith_short_16: FV54FF4SZXRCBHNR · pith_short_8: FV54FF4S

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/FV54FF4SZXRCBHNRSBTOBXQEVK \
  | 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: 2d7bc29792cde2209db19066e0de04aaa720334940c6085f05e259ce6e23b31c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66a4637100c140d3d82cef971ae685b82a4e6ab1610d580a0a1078d03309cd81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-24T12:24:02Z",
    "title_canon_sha256": "403da8663ec4cf8068015b3d26ecdaef958804edb4039176998ccac88bbc47cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5258",
    "kind": "arxiv",
    "version": 1
  }
}