Pith Number

pith:QPV5NJ6Y

pith:2016:QPV5NJ6YODGMLKWGFWRTSAA4GJ

not attested not anchored not stored refs pending

Five Vortex Equations

Nicholas S. Manton

arxiv:1612.06710 v2 · 2016-12-20 · hep-th · math-ph · 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{QPV5NJ6YODGMLKWGFWRTSAA4GJ}

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	2026-05-18T00:49:50.835860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ebd6a7d870ccc5aac62da339001c3278532cc7544d262cff1427e15e75994b

Aliases

arxiv: 1612.06710 · arxiv_version: 1612.06710v2 · doi: 10.48550/arxiv.1612.06710 · pith_short_12: QPV5NJ6YODGM · pith_short_16: QPV5NJ6YODGMLKWG · pith_short_8: QPV5NJ6Y

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/QPV5NJ6YODGMLKWGFWRTSAA4GJ \
  | 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: 83ebd6a7d870ccc5aac62da339001c3278532cc7544d262cff1427e15e75994b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e502ea233b7d2c7bdd0f756c4b4432be8c35f8d807a63705b1acfe788e810a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-20T15:38:25Z",
    "title_canon_sha256": "23a23d975747e82af45f2e0b87cf4ab918950be264ee057292bbcce55e16700d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06710",
    "kind": "arxiv",
    "version": 2
  }
}