Pith Number

pith:7HXEZRYQ

pith:2016:7HXEZRYQTPRQHQ3YF6XM2A66LM

not attested not anchored not stored refs pending

Gravitating vortices and the Einstein--Bogomol'nyi equations

Luis \'Alvarez-C\'onsul, Mario Garcia-Fernandez, Oscar Garc\'ia-Prada, Vamsi Pritham Pingali

arxiv:1606.07699 v3 · 2016-06-24 · math.DG · gr-qc · hep-th · math-ph · math.AG · 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{7HXEZRYQTPRQHQ3YF6XM2A66LM}

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	2026-05-18T00:04:42.045536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ee4cc7109be303c3782faecd03de5b3e13e5199bdfe0cdbb34367953abf18c

Aliases

arxiv: 1606.07699 · arxiv_version: 1606.07699v3 · doi: 10.48550/arxiv.1606.07699 · pith_short_12: 7HXEZRYQTPRQ · pith_short_16: 7HXEZRYQTPRQHQ3Y · pith_short_8: 7HXEZRYQ

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/7HXEZRYQTPRQHQ3YF6XM2A66LM \
  | 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: f9ee4cc7109be303c3782faecd03de5b3e13e5199bdfe0cdbb34367953abf18c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd3921c321ac9c051f519f719b4c0e15bfbdb37df96b00648ce5524b2264ddb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-24T14:26:39Z",
    "title_canon_sha256": "12d8510199d01c0ba6e113a94d775680c029bd8665ec0d5b422693e46fd346d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07699",
    "kind": "arxiv",
    "version": 3
  }
}