Pith Number

pith:PUNGW5OO

pith:2016:PUNGW5OODQB4MPM4BGNSUIWZ3V

not attested not anchored not stored refs pending

On the primitivity of birational transformations of irreducible symplectic manifolds

Federico Lo Bianco

arxiv:1604.05261 v1 · 2016-04-18 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUNGW5OODQB4MPM4BGNSUIWZ3V}

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	2026-05-18T01:16:55.138666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d1a6b75ce1c03c63d9c099b2a22d9dd59290f4759a39da390c6b4db2f8a5bd4

Aliases

arxiv: 1604.05261 · arxiv_version: 1604.05261v1 · doi: 10.48550/arxiv.1604.05261 · pith_short_12: PUNGW5OODQB4 · pith_short_16: PUNGW5OODQB4MPM4 · pith_short_8: PUNGW5OO

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/PUNGW5OODQB4MPM4BGNSUIWZ3V \
  | 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: 7d1a6b75ce1c03c63d9c099b2a22d9dd59290f4759a39da390c6b4db2f8a5bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b5a7f65d064c25c4c83f31a14cac2e4779ed6a6a41ee88feac01b46119f376",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-18T17:39:16Z",
    "title_canon_sha256": "8c9adb07da595e4bbc77bd8869f63de16b8e1bc15ea07ac8f4e5961bfd433645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05261",
    "kind": "arxiv",
    "version": 1
  }
}