Pith Number

pith:IWSHXEHV

pith:2026:IWSHXEHVNO2O4S2LMCDG23S34K

not attested not anchored not stored refs pending

Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrations

Evgeny Shinder, Keiji Oguiso, Yoon-Joo Kim

arxiv:2608.10102 v1 · 2026-08-10 · 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{IWSHXEHVNO2O4S2LMCDG23S34K}

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	2026-08-12T00:22:49.209334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a47b90f56bb4ee4b4b60866d6e5be2821f14dc46600e6c495143f29e9b32d8

Aliases

arxiv: 2608.10102 · arxiv_version: 2608.10102v1 · doi: 10.48550/arxiv.2608.10102 · pith_short_12: IWSHXEHVNO2O · pith_short_16: IWSHXEHVNO2O4S2L · pith_short_8: IWSHXEHV

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/IWSHXEHVNO2O4S2LMCDG23S34K \
  | 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: 45a47b90f56bb4ee4b4b60866d6e5be2821f14dc46600e6c495143f29e9b32d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f380205991250e1659bb6d810d36d27d0acf614df9eca39db93e0f7d946dd3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-10T18:12:39Z",
    "title_canon_sha256": "c4c23dfe16f47afac17dca87d20497b1873b541ae76934005b63e0cc5e2bbc4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10102",
    "kind": "arxiv",
    "version": 1
  }
}