Pith Number

pith:5PX4QNBY

pith:2010:5PX4QNBYOMC4ZOWYG7JYRPBBXT

not attested not anchored not stored refs pending

Toric plurisubharmonic functions and analytic adjoint ideal sheaves

Henri Guenancia

arxiv:1011.3162 v2 · 2010-11-13 · math.CV · 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{5PX4QNBYOMC4ZOWYG7JYRPBBXT}

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	2026-05-18T04:22:11.199760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebefc834387305ccbad837d388bc21bcfbc1f9bd4f23789ab742c53b5d075a49

Aliases

arxiv: 1011.3162 · arxiv_version: 1011.3162v2 · doi: 10.48550/arxiv.1011.3162 · pith_short_12: 5PX4QNBYOMC4 · pith_short_16: 5PX4QNBYOMC4ZOWY · pith_short_8: 5PX4QNBY

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/5PX4QNBYOMC4ZOWYG7JYRPBBXT \
  | 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: ebefc834387305ccbad837d388bc21bcfbc1f9bd4f23789ab742c53b5d075a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc666669583669f754bd22f647a1051eb15034deb8b6ab194ed1c9f337252b6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-11-13T21:49:11Z",
    "title_canon_sha256": "9a6db81f1120d949fd767e22b1d96ce2c53ee841977f8145cb0afaabdeca797d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3162",
    "kind": "arxiv",
    "version": 2
  }
}