Pith Number

pith:MUQYQ2XP

pith:2015:MUQYQ2XPJMRWILD2CY433XCUSH

not attested not anchored not stored refs pending

Okounkov bodies and the K\"ahler geometry of projective manifolds

David Witt Nystr\"om

arxiv:1510.00510 v3 · 2015-10-02 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUQYQ2XPJMRWILD2CY433XCUSH}

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	2026-05-18T01:23:55.161197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6521886aef4b23642c7a1639bddc5491e774f27e098429ccf57b78dbf77ce89a

Aliases

arxiv: 1510.00510 · arxiv_version: 1510.00510v3 · doi: 10.48550/arxiv.1510.00510 · pith_short_12: MUQYQ2XPJMRW · pith_short_16: MUQYQ2XPJMRWILD2 · pith_short_8: MUQYQ2XP

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/MUQYQ2XPJMRWILD2CY433XCUSH \
  | 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: 6521886aef4b23642c7a1639bddc5491e774f27e098429ccf57b78dbf77ce89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6aee9578046bec380b248ec0eb9ff001c85f38f02250a2ecdf9b01f716c4b9d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-02T07:35:39Z",
    "title_canon_sha256": "f6061398f6a31851232e529f19ee7825761203215bf1bbe69c219319ccab3386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00510",
    "kind": "arxiv",
    "version": 3
  }
}