Pith Number

pith:BD4KN5KI

pith:2014:BD4KN5KIAXK25XIHFG7U5XOOJL

not attested not anchored not stored refs pending

Normalized Berkovich spaces and surface singularities

Lorenzo Fantini

arxiv:1412.4676 v2 · 2014-12-15 · 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{BD4KN5KIAXK25XIHFG7U5XOOJL}

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	2026-05-18T00:03:29.887539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f8a6f54805d5aedd0729bf4eddce4ac475a46be9852dac350e2fbe1c5d3724

Aliases

arxiv: 1412.4676 · arxiv_version: 1412.4676v2 · doi: 10.48550/arxiv.1412.4676 · pith_short_12: BD4KN5KIAXK2 · pith_short_16: BD4KN5KIAXK25XIH · pith_short_8: BD4KN5KI

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/BD4KN5KIAXK25XIHFG7U5XOOJL \
  | 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: 08f8a6f54805d5aedd0729bf4eddce4ac475a46be9852dac350e2fbe1c5d3724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e705f495d2afd2d097e0ba27e0d26a4c1deed0168ea946fc77244491c85c2c8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-15T17:02:54Z",
    "title_canon_sha256": "467dc45dd9a2ae23087b6decfca370d10742273e90c9345923c993d1526e6fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4676",
    "kind": "arxiv",
    "version": 2
  }
}