Pith Number

pith:CGRFNRS6

pith:1996:CGRFNRS6JITRZAOGDQGD7FGVSH

not attested not anchored not stored refs pending

The Geometry Underlying Mirror Symmetry

David R. Morrison

arxiv:alg-geom/9608006 v2 · 1996-08-05 · alg-geom · hep-th · 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{CGRFNRS6JITRZAOGDQGD7FGVSH}

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	2026-07-04T15:07:36.519038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a256c65e4a271c81c61c0c3f94d591defd79626c646991830d6dda11bef246

Aliases

arxiv: alg-geom/9608006 · arxiv_version: alg-geom/9608006v2 · doi: 10.48550/arxiv.alg-geom/9608006 · pith_short_12: CGRFNRS6JITR · pith_short_16: CGRFNRS6JITRZAOG · pith_short_8: CGRFNRS6

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/CGRFNRS6JITRZAOGDQGD7FGVSH \
  | 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: 11a256c65e4a271c81c61c0c3f94d591defd79626c646991830d6dda11bef246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a645365d4749118cc65250a76f822d8f89f06a815fe49f7ab004b280f9cc73",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-08-05T05:40:31Z",
    "title_canon_sha256": "fb4a15e3c34e11ad8bddb2426bd7551ab9153b4e4eb093453200edc8c73d8eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9608006",
    "kind": "arxiv",
    "version": 2
  }
}