Pith Number

pith:DOSWHBGF

pith:2000:DOSWHBGFFFFYVFMP33VB7L5QZ2

not attested not anchored not stored refs pending

A Survey of Mirror Principle

Bong H. Lian, Kefeng Liu, Shing-Tung Yau

arxiv:math/0010064 v1 · 2000-10-06 · 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{DOSWHBGFFFFYVFMP33VB7L5QZ2}

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.

Cited by

1 paper in Pith

Advancements in Functorial Homological Mirror Symmetry

Receipt and verification

First computed	2026-07-04T14:34:51.224475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba56384c5294b8a958fdeea1fafb0cea31d61c226cee4553f488bdae36ff6fd

Aliases

arxiv: math/0010064 · arxiv_version: math/0010064v1 · doi: 10.48550/arxiv.math/0010064 · pith_short_12: DOSWHBGFFFFY · pith_short_16: DOSWHBGFFFFYVFMP · pith_short_8: DOSWHBGF

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/DOSWHBGFFFFYVFMP33VB7L5QZ2 \
  | 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: 1ba56384c5294b8a958fdeea1fafb0cea31d61c226cee4553f488bdae36ff6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c278d51f23e82c902775d7555d2ea67d560c7425874dee53b12724ebce578aeb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-10-06T21:50:48Z",
    "title_canon_sha256": "5f0d05eb63429af73926116f40794ea2a39aecf23cc8cc7cca4ec1fdc4938d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010064",
    "kind": "arxiv",
    "version": 1
  }
}