Pith Number

pith:HB5KKE6L

pith:2000:HB5KKE6LJDS4KHOENCSVRZ25TB

not attested not anchored not stored refs pending

Examples of Special Lagrangian Fibrations

Mark Gross

arxiv:math/0012002 v2 · 2000-12-01 · 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{HB5KKE6LJDS4KHOENCSVRZ25TB}

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	2026-07-04T14:34:57.418358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

387aa513cb48e5c51dc468a558e75d984ea55cab8f72b0874fdec45eee138ca1

Aliases

arxiv: math/0012002 · arxiv_version: math/0012002v2 · doi: 10.48550/arxiv.math/0012002 · pith_short_12: HB5KKE6LJDS4 · pith_short_16: HB5KKE6LJDS4KHOE · pith_short_8: HB5KKE6L

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/HB5KKE6LJDS4KHOENCSVRZ25TB \
  | 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: 387aa513cb48e5c51dc468a558e75d984ea55cab8f72b0874fdec45eee138ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b77ca6a2998db097e99daee50b2c293229105859f0c075a6d8db37d59bef18",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-12-01T11:25:39Z",
    "title_canon_sha256": "f3262627b9635e133b736eeb23d91910522e6beaee788a8671b17eb68c5a891e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012002",
    "kind": "arxiv",
    "version": 2
  }
}