Pith Number

pith:XTAFJYXJ

pith:2012:XTAFJYXJN6V5TPVPJ6ACITQBRL

not attested not anchored not stored refs pending

Berkovich spaces embed in Euclidean spaces

Bjorn Poonen, Ehud Hrushovski, Fran\c{c}ois Loeser

arxiv:1210.6485 v1 · 2012-10-24 · math.AG · math.GN · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTAFJYXJN6V5TPVPJ6ACITQBRL}

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	2026-05-18T01:58:27.539277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc054e2e96fabd9beaf4f80244e018ac876d69560aeb9fa18338b7585db7925

Aliases

arxiv: 1210.6485 · arxiv_version: 1210.6485v1 · doi: 10.48550/arxiv.1210.6485 · pith_short_12: XTAFJYXJN6V5 · pith_short_16: XTAFJYXJN6V5TPVP · pith_short_8: XTAFJYXJ

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/XTAFJYXJN6V5TPVPJ6ACITQBRL \
  | 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: bcc054e2e96fabd9beaf4f80244e018ac876d69560aeb9fa18338b7585db7925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c735a189bbb7f6d59295eaaceb77f7b6c7a5098a4711038690358606bef918",
    "cross_cats_sorted": [
      "math.GN",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-24T10:56:45Z",
    "title_canon_sha256": "0b4f7dc0c2a122cb4c419b4aded183054eb6921ef79166e1612cfe1329d11150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6485",
    "kind": "arxiv",
    "version": 1
  }
}