Pith Number

pith:PXMZYBMH

pith:2011:PXMZYBMHJVNGARDUSCGXABPYTV

not attested not anchored not stored refs pending

Birational self-maps and piecewise algebraic geometry

Julien Sebag (IRMAR), St\'ephane Lamy

arxiv:1112.5706 v1 · 2011-12-24 · 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{PXMZYBMHJVNGARDUSCGXABPYTV}

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	2026-05-18T03:25:59.633781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dd99c05874d5a604474908d7005f89d639eb93e0d6dbc2a747a02141e4efc66

Aliases

arxiv: 1112.5706 · arxiv_version: 1112.5706v1 · doi: 10.48550/arxiv.1112.5706 · pith_short_12: PXMZYBMHJVNG · pith_short_16: PXMZYBMHJVNGARDU · pith_short_8: PXMZYBMH

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/PXMZYBMHJVNGARDUSCGXABPYTV \
  | 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: 7dd99c05874d5a604474908d7005f89d639eb93e0d6dbc2a747a02141e4efc66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b875ecb7f42dc93487059edc194de4a73444feaa71e4714696e4cc171995e26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-24T07:58:08Z",
    "title_canon_sha256": "585773726b7a1df4ad5673e41ad81046e89d46e4f1d6058792d5c66a76c55aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5706",
    "kind": "arxiv",
    "version": 1
  }
}