Pith Number

pith:QFWJLZSZ

pith:2001:QFWJLZSZ4QC2OYRV544IY3KHV2

not attested not anchored not stored refs pending

The $S^1$ fixed points in Quot-schemes and mirror principle computations

Bong H. Lian (Brandeis University), Chien-Hao Liu (Harvard University), Kefeng Liu (University of California at Los Angelas), Shing-Tung Yau (Harvard University)

arxiv:math/0111256 v1 · 2001-11-24 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFWJLZSZ4QC2OYRV544IY3KHV2}

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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	2026-07-04T14:35:46.285053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816c95e659e405a76235ef388c6d47ae9f159cc2e4049a5f7d9279f72c80fd90

Aliases

arxiv: math/0111256 · arxiv_version: math/0111256v1 · doi: 10.48550/arxiv.math/0111256 · pith_short_12: QFWJLZSZ4QC2 · pith_short_16: QFWJLZSZ4QC2OYRV · pith_short_8: QFWJLZSZ

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/QFWJLZSZ4QC2OYRV544IY3KHV2 \
  | 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: 816c95e659e405a76235ef388c6d47ae9f159cc2e4049a5f7d9279f72c80fd90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a8861fe682156c28b04b8fba90022d45f40ab32ee9cfba9813200989e9171e3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-11-24T01:11:25Z",
    "title_canon_sha256": "604f23026219dcad58b10a26c677fc557ffd98e7759c03ff214c458dbaeadf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111256",
    "kind": "arxiv",
    "version": 1
  }
}