Pith Number

pith:4LSROVWU

pith:2014:4LSROVWUJ2WTR4DBSMWKSBUYGB

not attested not anchored not stored refs pending

A modular compactification of $\mathcal{M}_{1,n}$ from $A_\infty$-structures

Alexander Polishchuk, Yanki Lekili

arxiv:1408.0611 v3 · 2014-08-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LSROVWUJ2WTR4DBSMWKSBUYGB}

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	2026-05-18T00:49:52.849198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e51756d44ead38f061932ca906983069834325fa7313506f083cf2458cb235

Aliases

arxiv: 1408.0611 · arxiv_version: 1408.0611v3 · doi: 10.48550/arxiv.1408.0611 · pith_short_12: 4LSROVWUJ2WT · pith_short_16: 4LSROVWUJ2WTR4DB · pith_short_8: 4LSROVWU

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/4LSROVWUJ2WTR4DBSMWKSBUYGB \
  | 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: e2e51756d44ead38f061932ca906983069834325fa7313506f083cf2458cb235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60a3839a0ef1a96ce6f928b8dd8abb9446d202b903ca23f8b459c899fafccbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-04T08:57:04Z",
    "title_canon_sha256": "8ef693c642ea05e77dcaf51a5d89389d40ced2a9a2185835ad95e416d654771f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0611",
    "kind": "arxiv",
    "version": 3
  }
}