Pith Number

pith:PVYVWSNC

pith:2013:PVYVWSNCDPGAOSE6DZYTW6WAXB

not attested not anchored not stored refs pending

Log minimal model program for the moduli space of stable curves: The second flip

David Ishii Smyth, Frederick van der Wyck, Jarod Alper, Maksym Fedorchuk

arxiv:1308.1148 v2 · 2013-08-06 · 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{PVYVWSNCDPGAOSE6DZYTW6WAXB}

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	2026-05-18T02:41:08.950638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d715b49a21bcc07489e1e713b7ac0b84cc8ab81cc8eb37c3478e91cc03695dc

Aliases

arxiv: 1308.1148 · arxiv_version: 1308.1148v2 · doi: 10.48550/arxiv.1308.1148 · pith_short_12: PVYVWSNCDPGA · pith_short_16: PVYVWSNCDPGAOSE6 · pith_short_8: PVYVWSNC

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/PVYVWSNCDPGAOSE6DZYTW6WAXB \
  | 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: 7d715b49a21bcc07489e1e713b7ac0b84cc8ab81cc8eb37c3478e91cc03695dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e816e3753fe8b00824f08e622ed2ee498a2415403bc3625a6c5001aded074b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-06T01:13:50Z",
    "title_canon_sha256": "a971829a49f47553a3edb29e9669dab24efcc92b9ec2f0933b626c20638b52b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1148",
    "kind": "arxiv",
    "version": 2
  }
}