Pith Number

pith:IJTS4B2N

pith:2015:IJTS4B2N4KDV3NUTIKSAH4YZ42

not attested not anchored not stored refs pending

On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces

Brian Harbourne, Halszka Tutaj-Gasi\'nska, Piotr Pokora

arxiv:1507.07273 v1 · 2015-07-27 · 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{IJTS4B2N4KDV3NUTIKSAH4YZ42}

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	2026-05-18T01:22:48.277804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42672e074de2875db69342a403f319e68236d573fe2ddf650d680d65dfc39971

Aliases

arxiv: 1507.07273 · arxiv_version: 1507.07273v1 · doi: 10.48550/arxiv.1507.07273 · pith_short_12: IJTS4B2N4KDV · pith_short_16: IJTS4B2N4KDV3NUT · pith_short_8: IJTS4B2N

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/IJTS4B2N4KDV3NUTIKSAH4YZ42 \
  | 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: 42672e074de2875db69342a403f319e68236d573fe2ddf650d680d65dfc39971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ee48720f0abb61f1a0a334272e392c1fb6ac09d569d3b887e35c29017adfe5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-27T00:50:02Z",
    "title_canon_sha256": "b17c6468813020a97e51da7c784dae3f073dfc281777f81870fbc7417cba3533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07273",
    "kind": "arxiv",
    "version": 1
  }
}