Pith Number

pith:SXSNNVC7

pith:2019:SXSNNVC7GMY4TT3ORVA7C4IGLF

not attested not anchored not stored refs pending

Log Iitaka conjecture for abundant log canonical fibrations

Kenta Hashizume

arxiv:1902.10923 v2 · 2019-02-28 · 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{SXSNNVC7GMY4TT3ORVA7C4IGLF}

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	2026-05-17T23:47:15.617553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95e4d6d45f3331c9cf6e8d41f171065952de027d574bf6cb08a55a7170afb7f4

Aliases

arxiv: 1902.10923 · arxiv_version: 1902.10923v2 · doi: 10.48550/arxiv.1902.10923 · pith_short_12: SXSNNVC7GMY4 · pith_short_16: SXSNNVC7GMY4TT3O · pith_short_8: SXSNNVC7

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/SXSNNVC7GMY4TT3ORVA7C4IGLF \
  | 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: 95e4d6d45f3331c9cf6e8d41f171065952de027d574bf6cb08a55a7170afb7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc4456efad454e5223cc51d0bc80eae7afcff9574ce0f901cc00c2788928067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-28T06:40:04Z",
    "title_canon_sha256": "7829ffee459c40d764590a62b114737fec84920df4bd0668ec1e31d4cc3203b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10923",
    "kind": "arxiv",
    "version": 2
  }
}