Pith Number

pith:ZKOJNT4M

pith:2020:ZKOJNT4MMPNA52UUYYMSSI6SV4

not attested not anchored not stored refs pending

Higher Airy structures and topological recursion for singular spectral curves

Ga\"etan Borot, Reinier Kramer, Yannik Sch\"uler

arxiv:2010.03512 v3 · 2020-10-07 · math-ph · hep-th · math.AG · 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{ZKOJNT4MMPNA52UUYYMSSI6SV4}

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	2026-07-05T07:44:50.043368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca9c96cf8c63da0eea94c6192923d2af223267d2f5554bab7e8f6ac105f8bcd7

Aliases

arxiv: 2010.03512 · arxiv_version: 2010.03512v3 · doi: 10.48550/arxiv.2010.03512 · pith_short_12: ZKOJNT4MMPNA · pith_short_16: ZKOJNT4MMPNA52UU · pith_short_8: ZKOJNT4M

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/ZKOJNT4MMPNA52UUYYMSSI6SV4 \
  | 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: ca9c96cf8c63da0eea94c6192923d2af223267d2f5554bab7e8f6ac105f8bcd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab1ee8078f74a1dc63436c71da4a3c219f348dfadabca162a327c901193df09",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-10-07T16:31:25Z",
    "title_canon_sha256": "527e0f427a30c8416e0cfebd680acaa8be35c1a4a20f8f35b74c43b98368e80e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.03512",
    "kind": "arxiv",
    "version": 3
  }
}