Pith Number

pith:URECDTNK

pith:2014:URECDTNKW7XBYWNGHGRBW6PSLP

not attested not anchored not stored refs pending

On the boundedness of the denominators in the Zariski decomposition on surfaces

David Schmitz, Piotr Pokora, Thomas Bauer

arxiv:1411.2431 v2 · 2014-11-10 · 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{URECDTNKW7XBYWNGHGRBW6PSLP}

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	2026-05-18T00:27:57.868088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a44821cdaab7ee1c59a639a21b79f25bc1737ddc0adf4b5542e2cdc8641b6ad3

Aliases

arxiv: 1411.2431 · arxiv_version: 1411.2431v2 · doi: 10.48550/arxiv.1411.2431 · pith_short_12: URECDTNKW7XB · pith_short_16: URECDTNKW7XBYWNG · pith_short_8: URECDTNK

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/URECDTNKW7XBYWNGHGRBW6PSLP \
  | 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: a44821cdaab7ee1c59a639a21b79f25bc1737ddc0adf4b5542e2cdc8641b6ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd5457116c04cf5ed27132f2d145164350cabcf1e8e4c95c4c1ea018ebbe326",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-10T14:02:35Z",
    "title_canon_sha256": "e79157ba15ee564d01329e941f9d4823c7cf10a43f0552d0134e09084ac450c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2431",
    "kind": "arxiv",
    "version": 2
  }
}