Pith Number

pith:MZ2VN5YP

pith:2025:MZ2VN5YP3MOIA65ZJRPAR2R6TN

not attested not anchored not stored refs pending

Spectral networks for polynomial cubic differentials

Guillaume Tahar, Omar Kidwai

arxiv:2507.07971 v1 · 2025-07-10 · math.AG · hep-th · math-ph · math.DG · 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{MZ2VN5YP3MOIA65ZJRPAR2R6TN}

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	2026-07-05T11:35:07.695938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

667556f70fdb1c807bb94c5e08ea3e9b5c2f80671bd951a60e3eba4b5ab516e0

Aliases

arxiv: 2507.07971 · arxiv_version: 2507.07971v1 · doi: 10.48550/arxiv.2507.07971 · pith_short_12: MZ2VN5YP3MOI · pith_short_16: MZ2VN5YP3MOIA65Z · pith_short_8: MZ2VN5YP

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/MZ2VN5YP3MOIA65ZJRPAR2R6TN \
  | 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: 667556f70fdb1c807bb94c5e08ea3e9b5c2f80671bd951a60e3eba4b5ab516e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b732e90238b8d9e5944bf96d486f2cd5aa8f6831902c3cd2b09eefe380de8c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-10T17:49:04Z",
    "title_canon_sha256": "c4f232544a2ff5b03da32090bcc680158bd5356ba335ba969ec037b6cac61abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07971",
    "kind": "arxiv",
    "version": 1
  }
}