Pith Number

pith:D7HJGBGW

pith:2012:D7HJGBGWCAXNGVDVAEFJMFOJ7Z

not attested not anchored not stored refs pending

Integrable vortex-type equations on the two-sphere

Alexander D. Popov

arxiv:1208.3578 v2 · 2012-08-17 · 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{D7HJGBGWCAXNGVDVAEFJMFOJ7Z}

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	2026-05-18T03:22:29.274866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fce9304d6102ed35475010a9615c9fe61c7735eaaccdb12013f4ca244d725eb

Aliases

arxiv: 1208.3578 · arxiv_version: 1208.3578v2 · doi: 10.48550/arxiv.1208.3578 · pith_short_12: D7HJGBGWCAXN · pith_short_16: D7HJGBGWCAXNGVDV · pith_short_8: D7HJGBGW

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/D7HJGBGWCAXNGVDVAEFJMFOJ7Z \
  | 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: 1fce9304d6102ed35475010a9615c9fe61c7735eaaccdb12013f4ca244d725eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b0c335cc088381aeff0ee00de4fa98f81f4670b8a6293f494f0ca1c3cea8153",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-17T11:47:45Z",
    "title_canon_sha256": "484a51ed0926076c92d9586fce3060d45bb0eca2cc3e7377e62e4bfbd0758cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3578",
    "kind": "arxiv",
    "version": 2
  }
}