Pith Number

pith:2ZMA5ALU

pith:2019:2ZMA5ALU46Y2U6LCWV6LOWZ6QP

not attested not anchored not stored refs pending

D\'evisser, d\'ecouper, \'eclater et aplatir les espaces de Berkovich

Antoine Ducros

arxiv:1906.00301 v3 · 2019-06-01 · 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{2ZMA5ALU46Y2U6LCWV6LOWZ6QP}

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	2026-07-05T02:54:09.863739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6580e8174e7b1aa7962b57cb75b3e83d2efb071089da9d3ba231a6ca93ba261

Aliases

arxiv: 1906.00301 · arxiv_version: 1906.00301v3 · doi: 10.48550/arxiv.1906.00301 · pith_short_12: 2ZMA5ALU46Y2 · pith_short_16: 2ZMA5ALU46Y2U6LC · pith_short_8: 2ZMA5ALU

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/2ZMA5ALU46Y2U6LCWV6LOWZ6QP \
  | 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: d6580e8174e7b1aa7962b57cb75b3e83d2efb071089da9d3ba231a6ca93ba261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08027ec9c3d9ea9af9bc2038a9bc6426d3354588a4274adab5c8e0ec3d37bb5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-01T22:04:37Z",
    "title_canon_sha256": "716d0ef10c09a9f3636021a8426b4163b4cdc16605ba0fc22948acca8b021789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00301",
    "kind": "arxiv",
    "version": 3
  }
}