Pith Number

pith:62SU32T6

pith:2025:62SU32T6E34TQWYJIDJVFZ5HU5

not attested not anchored not stored refs pending

Sarkisov program for algebraically integrable and threefold foliations

Jihao Liu, Yanze Wang, Yifei Chen

arxiv:2505.15115 v1 · 2025-05-21 · 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{62SU32T6E34TQWYJIDJVFZ5HU5}

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	2026-07-05T11:06:40.886248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6a54dea7e26f9385b0940d352e7a7a77ac49007ded1b454b11585b11f865cc5

Aliases

arxiv: 2505.15115 · arxiv_version: 2505.15115v1 · doi: 10.48550/arxiv.2505.15115 · pith_short_12: 62SU32T6E34T · pith_short_16: 62SU32T6E34TQWYJ · pith_short_8: 62SU32T6

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/62SU32T6E34TQWYJIDJVFZ5HU5 \
  | 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: f6a54dea7e26f9385b0940d352e7a7a77ac49007ded1b454b11585b11f865cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08b07d7667392db175d6abef56d1c9e6c69bffc1c3ee583dc813ea9120db7a78",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-21T05:07:44Z",
    "title_canon_sha256": "c3df4e2f736bdc7e71b140cc7f294048e289c7a70caf36453aeab8a326472884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15115",
    "kind": "arxiv",
    "version": 1
  }
}