Pith Number

pith:Q6SDTYH7

pith:1999:Q6SDTYH757IYXBN2K7D4JA7MWZ

not attested not anchored not stored refs pending

Mirror Principle II

Bong H. Lian, Kefeng Liu, S.T. Yau

arxiv:math/9905006 v1 · 1999-05-03 · 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{Q6SDTYH757IYXBN2K7D4JA7MWZ}

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	2026-07-04T14:41:08.500407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a439e0ffefd18b85ba57c7c483ecb6534f12ee32f40dd796e8ea53bc51ce26

Aliases

arxiv: math/9905006 · arxiv_version: math/9905006v1 · doi: 10.48550/arxiv.math/9905006 · pith_short_12: Q6SDTYH757IY · pith_short_16: Q6SDTYH757IYXBN2 · pith_short_8: Q6SDTYH7

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/Q6SDTYH757IYXBN2K7D4JA7MWZ \
  | 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: 87a439e0ffefd18b85ba57c7c483ecb6534f12ee32f40dd796e8ea53bc51ce26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6955481f7ce4841b32b65185f0f3a8a08e3c8490ed07473bbc8eee5938091c9e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-05-03T01:37:40Z",
    "title_canon_sha256": "daa97206d3d9b264e966f0b3d3b6c4653cf2de02796df7b7b13031e655bcb56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905006",
    "kind": "arxiv",
    "version": 1
  }
}