Pith Number

pith:3F7JGF5R

pith:2016:3F7JGF5RT2CMCFKUOLFEW7YBTV

not attested not anchored not stored refs pending

Primary invariants of Hurwitz Frobenius manifolds

Alexandr Popolitov, Nicolas Orantin, Paul Norbury, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:1605.07644 v2 · 2016-05-24 · math.AG · 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{3F7JGF5RT2CMCFKUOLFEW7YBTV}

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	2026-05-17T23:46:11.448725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97e9317b19e84c1155472ca4b7f019d4eb242139ef694709603502c9310a22e

Aliases

arxiv: 1605.07644 · arxiv_version: 1605.07644v2 · doi: 10.48550/arxiv.1605.07644 · pith_short_12: 3F7JGF5RT2CM · pith_short_16: 3F7JGF5RT2CMCFKU · pith_short_8: 3F7JGF5R

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/3F7JGF5RT2CMCFKUOLFEW7YBTV \
  | 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: d97e9317b19e84c1155472ca4b7f019d4eb242139ef694709603502c9310a22e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e2da140561575198851dbd328450340ff5a209eb0def6a9fcb41c461da97713",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-24T20:15:31Z",
    "title_canon_sha256": "b8e576b69fee6fa028601fa3de70c8cea9bd25c9647b9bee62bf11f1de1b7245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07644",
    "kind": "arxiv",
    "version": 2
  }
}