Pith Number

pith:CTTCYCFZ

pith:2012:CTTCYCFZH2VYOTZBUV5CMWSEI2

not attested not anchored not stored refs pending

A generalized topological recursion for arbitrary ramification

Joel Hutchinson, Matthew Rupert, Michael Meiers, Prachi Loliencar, Vincent Bouchard

arxiv:1208.6035 v1 · 2012-08-29 · math-ph · hep-th · 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{CTTCYCFZH2VYOTZBUV5CMWSEI2}

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	2026-05-18T02:45:32.285468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e62c08b93eab874f21a57a265a4446a10ea75710d11d1d6a4cdbd5f35e3dfa

Aliases

arxiv: 1208.6035 · arxiv_version: 1208.6035v1 · doi: 10.48550/arxiv.1208.6035 · pith_short_12: CTTCYCFZH2VY · pith_short_16: CTTCYCFZH2VYOTZB · pith_short_8: CTTCYCFZ

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/CTTCYCFZH2VYOTZBUV5CMWSEI2 \
  | 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: 14e62c08b93eab874f21a57a265a4446a10ea75710d11d1d6a4cdbd5f35e3dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21200332556af142eed157bc5ea8feca12ed38e1e6b6189cad62044d772349f0",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-29T21:50:56Z",
    "title_canon_sha256": "81ce24df4bacef779ba9220b0e20e00a3275ea7c6e1ed51dbd0d3674ba6fe402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6035",
    "kind": "arxiv",
    "version": 1
  }
}