Pith Number

pith:4PBWATMM

pith:2010:4PBWATMMAJZ2RLMJ6UXPQBMZCT

not attested not anchored not stored refs pending

Conformal blocks divisors on $\bar{M}_{0,n}$ from $sl_2$

Angela Gibney, David Swinarski, Valery Alexeev

arxiv:1011.6659 v1 · 2010-11-30 · 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{4PBWATMMAJZ2RLMJ6UXPQBMZCT}

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	2026-05-18T04:34:26.355736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c3604d8c0273a8ad89f52ef8059914d54aad7900cebe882c4fff89a136ec82

Aliases

arxiv: 1011.6659 · arxiv_version: 1011.6659v1 · doi: 10.48550/arxiv.1011.6659 · pith_short_12: 4PBWATMMAJZ2 · pith_short_16: 4PBWATMMAJZ2RLMJ · pith_short_8: 4PBWATMM

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/4PBWATMMAJZ2RLMJ6UXPQBMZCT \
  | 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: e3c3604d8c0273a8ad89f52ef8059914d54aad7900cebe882c4fff89a136ec82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1961882638a5c8bd2243ef3a936ac4e591fc4c04bd772ca07f00183034c7af34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-30T20:05:19Z",
    "title_canon_sha256": "ec51cf34bfccfd46c988ee60f44d1f7ef1c97851a83a59faa48117be1e80603b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6659",
    "kind": "arxiv",
    "version": 1
  }
}