Pith Number

pith:IIBV7AC7

pith:2011:IIBV7AC7LX742CUY6GBNK7MHXN

not attested not anchored not stored refs pending

$sl_2$ conformal block divisors and the nef cone of $\bar{M}_{0,n}$

David Swinarski

arxiv:1107.5331 v1 · 2011-07-26 · 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{IIBV7AC7LX742CUY6GBNK7MHXN}

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	2026-05-18T04:16:52.253644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42035f805f5dffcd0a98f182d57d87bb672fb25fa8ca6de16d7a0e25278bb76d

Aliases

arxiv: 1107.5331 · arxiv_version: 1107.5331v1 · doi: 10.48550/arxiv.1107.5331 · pith_short_12: IIBV7AC7LX74 · pith_short_16: IIBV7AC7LX742CUY · pith_short_8: IIBV7AC7

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/IIBV7AC7LX742CUY6GBNK7MHXN \
  | 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: 42035f805f5dffcd0a98f182d57d87bb672fb25fa8ca6de16d7a0e25278bb76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd23143c5f5b7c3fade66368b11a2e081474a80f232a5799db4456d095390da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-26T21:02:59Z",
    "title_canon_sha256": "926b37bd084fdef7ebe6c6f28c9d8d9ab5a85064995ede65937b4271641444dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5331",
    "kind": "arxiv",
    "version": 1
  }
}