Pith Number

pith:XJLO35UA

pith:2012:XJLO35UAG7MLMCB7C37FBYH7RL

not attested not anchored not stored refs pending

Espaces de Berkovich, polytopes, squelettes et th\'eorie des mod\`eles

Antoine Ducros

arxiv:1203.6498 v3 · 2012-03-29 · 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{XJLO35UAG7MLMCB7C37FBYH7RL}

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.

Cited by

1 paper in Pith

Utilisation de l'aplatissement en g\'eom\'etrie de Berkovich

Receipt and verification

First computed	2026-05-18T03:51:14.097619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba56edf68037d8b6083f16fe50e0ff8aeb2c42f3996a8bae9513751f256d36d3

Aliases

arxiv: 1203.6498 · arxiv_version: 1203.6498v3 · doi: 10.48550/arxiv.1203.6498 · pith_short_12: XJLO35UAG7ML · pith_short_16: XJLO35UAG7MLMCB7 · pith_short_8: XJLO35UA

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/XJLO35UAG7MLMCB7C37FBYH7RL \
  | 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: ba56edf68037d8b6083f16fe50e0ff8aeb2c42f3996a8bae9513751f256d36d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dcaf40d855789cbff3ebad2f250ac6107b7cc88a1166c6f93aef9188af8fc03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-29T12:04:57Z",
    "title_canon_sha256": "e01aa45a3b94ccf11869ac3052701709554592f3bf4cda6ae69433e3b8b0af8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6498",
    "kind": "arxiv",
    "version": 3
  }
}