Pith Number

pith:AXRWBCOJ

pith:2012:AXRWBCOJ4YBY7GYOASEAOVITON

not attested not anchored not stored refs pending

Vortex solutions of the Popov equations

N. S. Manton

arxiv:1211.4352 v2 · 2012-11-19 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXRWBCOJ4YBY7GYOASEAOVITON}

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	2026-05-18T01:53:03.059873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e36089c9e6038f9b0e048807551373441b32ba1436bdb96474b6b43c2b38cc

Aliases

arxiv: 1211.4352 · arxiv_version: 1211.4352v2 · doi: 10.48550/arxiv.1211.4352 · pith_short_12: AXRWBCOJ4YBY · pith_short_16: AXRWBCOJ4YBY7GYO · pith_short_8: AXRWBCOJ

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/AXRWBCOJ4YBY7GYOASEAOVITON \
  | 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: 05e36089c9e6038f9b0e048807551373441b32ba1436bdb96474b6b43c2b38cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f08345c9781f2ce5606cc0e9dcea26f94c8d0ddf5a5515d127d4f695e2365a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-11-19T10:18:20Z",
    "title_canon_sha256": "7154d274b9d0d8a06e78d531d2a7e9a3c7e0265f58e8bdaaf3822804f6e8252f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4352",
    "kind": "arxiv",
    "version": 2
  }
}