Pith Number

pith:TXJC7NB7

pith:2010:TXJC7NB7M5P7H5JXZKBOJKU2QU

not attested not anchored not stored refs pending

Foliations on the moduli space of rank two connections on the projective line minus four points

Carlos T. Simpson (JAD), Frank Loray (IRMAR), Masa-Hiko Saito

arxiv:1012.3612 v2 · 2010-12-16 · 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{TXJC7NB7M5P7H5JXZKBOJKU2QU}

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	2026-05-18T04:20:14.528431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd22fb43f675ff3f537ca82e4aa9a8515eca40a450d7a675748c93ce949cf49

Aliases

arxiv: 1012.3612 · arxiv_version: 1012.3612v2 · doi: 10.48550/arxiv.1012.3612 · pith_short_12: TXJC7NB7M5P7 · pith_short_16: TXJC7NB7M5P7H5JX · pith_short_8: TXJC7NB7

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/TXJC7NB7M5P7H5JXZKBOJKU2QU \
  | 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: 9dd22fb43f675ff3f537ca82e4aa9a8515eca40a450d7a675748c93ce949cf49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22475903d1ef1976807b5314cbb5ee25e0ab7919903bde702e0d95d5a2849ee8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-16T14:15:36Z",
    "title_canon_sha256": "940954524eca4ca65fe4de47e56f6b997447da0920d490fe387ae531465e3f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3612",
    "kind": "arxiv",
    "version": 2
  }
}