Pith Number

pith:4NEUBVNM

pith:2015:4NEUBVNMG4IJY6ORFLGF26PZBW

not attested not anchored not stored refs pending

On semipositivity, injectivity and vanishing theorems

Osamu Fujino

arxiv:1503.06503 v4 · 2015-03-23 · 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{4NEUBVNMG4IJY6ORFLGF26PZBW}

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	2026-05-18T01:03:53.229636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34940d5ac37109c79d12acc5d79f90dae6b88f71303a89c857e71d95f3f4303

Aliases

arxiv: 1503.06503 · arxiv_version: 1503.06503v4 · doi: 10.48550/arxiv.1503.06503 · pith_short_12: 4NEUBVNMG4IJ · pith_short_16: 4NEUBVNMG4IJY6OR · pith_short_8: 4NEUBVNM

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/4NEUBVNMG4IJY6ORFLGF26PZBW \
  | 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: e34940d5ac37109c79d12acc5d79f90dae6b88f71303a89c857e71d95f3f4303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dfeea9b7ebf0de9197f1453f95fb944d43e3e22aaa8e0153da1c0ee57478f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-23T01:17:26Z",
    "title_canon_sha256": "467d934959257688711b3127f1db8a1d5cfeb634de88334ff7409f0876a10cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06503",
    "kind": "arxiv",
    "version": 4
  }
}