Pith Number

pith:2VOSIWCF

pith:2014:2VOSIWCFDQMPZDIJOFRHMDOQZB

not attested not anchored not stored refs pending

Self gravitating cosmic strings and the Alexandrov's inequality for Liouville-type equations

Daniele Bartolucci, Daniele Castorina

arxiv:1409.3135 v1 · 2014-09-10 · 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{2VOSIWCFDQMPZDIJOFRHMDOQZB}

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	2026-05-18T00:39:07.363032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55d2458451c18fc8d097162760dd0c866e2659d829cc9df071c2342c4b35829

Aliases

arxiv: 1409.3135 · arxiv_version: 1409.3135v1 · doi: 10.48550/arxiv.1409.3135 · pith_short_12: 2VOSIWCFDQMP · pith_short_16: 2VOSIWCFDQMPZDIJ · pith_short_8: 2VOSIWCF

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/2VOSIWCFDQMPZDIJOFRHMDOQZB \
  | 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: d55d2458451c18fc8d097162760dd0c866e2659d829cc9df071c2342c4b35829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8327ae1de838e1b284268e0b722e1d47f4589e2beb6487b35bafac699d4fb659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-10T16:10:25Z",
    "title_canon_sha256": "95401b25c19a84814071be5fb70a7fdf4bcd73ac91e30dcc8fe835ef762909a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3135",
    "kind": "arxiv",
    "version": 1
  }
}