Pith Number

pith:PMAKTQ2Y

pith:2012:PMAKTQ2YRANL5H4MURI6YIZJN2

not attested not anchored not stored refs pending

Polynomial approximation of Berkovich spaces and definable types

J\'er\^ome Poineau

arxiv:1204.3417 v1 · 2012-04-16 · math.AG · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMAKTQ2YRANL5H4MURI6YIZJN2}

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	2026-05-18T03:57:51.558283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b00a9c358881abe9f8ca451ec23296e95d618ff3a6607bff7e58bc1835870f8

Aliases

arxiv: 1204.3417 · arxiv_version: 1204.3417v1 · doi: 10.48550/arxiv.1204.3417 · pith_short_12: PMAKTQ2YRANL · pith_short_16: PMAKTQ2YRANL5H4M · pith_short_8: PMAKTQ2Y

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/PMAKTQ2YRANL5H4MURI6YIZJN2 \
  | 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: 7b00a9c358881abe9f8ca451ec23296e95d618ff3a6607bff7e58bc1835870f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab534bc6e48f5a88a684ac557e8a4b8f60e569144c7a8dfc67c04c520c3abab8",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-16T09:28:57Z",
    "title_canon_sha256": "64cf915770ac3935ec1b30d4197f3aeb7dee655893249a3ff57862157ec22011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3417",
    "kind": "arxiv",
    "version": 1
  }
}