Pith Number

pith:ET6SNQ4Y

pith:2012:ET6SNQ4YESVGWHRYCWJXJHANND

not attested not anchored not stored refs pending

On birational involutions of $P^3$

Yuri Prokhorov

arxiv:1206.4985 v2 · 2012-06-21 · 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{ET6SNQ4YESVGWHRYCWJXJHANND}

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	2026-05-18T01:21:45.490672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24fd26c39824aa6b1e381593749c0d68e1230d650594fe65d4c14759b4c31839

Aliases

arxiv: 1206.4985 · arxiv_version: 1206.4985v2 · doi: 10.48550/arxiv.1206.4985 · pith_short_12: ET6SNQ4YESVG · pith_short_16: ET6SNQ4YESVGWHRY · pith_short_8: ET6SNQ4Y

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/ET6SNQ4YESVGWHRYCWJXJHANND \
  | 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: 24fd26c39824aa6b1e381593749c0d68e1230d650594fe65d4c14759b4c31839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac031e9667922f1085162aaf62fcc93844ee0ef2b4bb145d26df3bc368590e27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-21T19:14:21Z",
    "title_canon_sha256": "29841b9afdef7e779f1082a856ecc02863f55cb81d10e966fb3654050ba10df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4985",
    "kind": "arxiv",
    "version": 2
  }
}