Pith Number

pith:5LTQ7RL3

pith:2019:5LTQ7RL3KYMILC7X4KN7XDKQXI

not attested not anchored not stored refs pending

Moduli of framed formal curves

Dmitry Vaintrob

arxiv:1910.11550 v1 · 2019-10-25 · math.AG · math.AT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LTQ7RL3KYMILC7X4KN7XDKQXI}

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.

Cited by

1 paper in Pith

The Deligne-Mumford operad as a trivialization of the circle action

Receipt and verification

First computed	2026-07-05T00:14:47.463998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eae70fc57b5618858bf7e29bfb8d50ba070cff21b2ba52669b12290c981f96f5

Aliases

arxiv: 1910.11550 · arxiv_version: 1910.11550v1 · doi: 10.48550/arxiv.1910.11550 · pith_short_12: 5LTQ7RL3KYMI · pith_short_16: 5LTQ7RL3KYMILC7X · pith_short_8: 5LTQ7RL3

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/5LTQ7RL3KYMILC7X4KN7XDKQXI \
  | 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: eae70fc57b5618858bf7e29bfb8d50ba070cff21b2ba52669b12290c981f96f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ed9eab267298cb1eccd2226f72dcca1d31b7ef9c3254317c82b9d26b74b836",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-10-25T06:58:02Z",
    "title_canon_sha256": "db75b5ac3c79e9daa976780ff2353582b9f32e4622e79c5571f31f585305e6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.11550",
    "kind": "arxiv",
    "version": 1
  }
}