Pith Number

pith:E73IUG2D

pith:1998:E73IUG2DP3RY3VKPFNZX3LD3VH

not attested not anchored not stored refs pending

Special Lagrangian Fibrations II: Geometry

Mark Gross

arxiv:math/9809072 v2 · 1998-09-14 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E73IUG2DP3RY3VKPFNZX3LD3VH}

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	2026-07-04T14:40:47.276489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f68a1b437ee38dd54f2b737dac7ba9d59bdf3b35aeff5a32356bed777b55a1

Aliases

arxiv: math/9809072 · arxiv_version: math/9809072v2 · doi: 10.48550/arxiv.math/9809072 · pith_short_12: E73IUG2DP3RY · pith_short_16: E73IUG2DP3RY3VKP · pith_short_8: E73IUG2D

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/E73IUG2DP3RY3VKPFNZX3LD3VH \
  | 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: 27f68a1b437ee38dd54f2b737dac7ba9d59bdf3b35aeff5a32356bed777b55a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd586d18d25f3618fc020fe08b94b5ce045ebd4f27ee86e41a6cd8408a75f4b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-09-14T14:16:24Z",
    "title_canon_sha256": "cde56e04b1e90718362b82ef0ec167ae59fabc353d5f835374996641637591a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809072",
    "kind": "arxiv",
    "version": 2
  }
}