Pith Number

pith:GW7AWUV3

pith:2012:GW7AWUV3ZQCOE7ULYZVYM4IZ6C

not attested not anchored not stored refs pending

Mirror Symmetry and the Strominger-Yau-Zaslow conjecture

Mark Gross

arxiv:1212.4220 v2 · 2012-12-18 · math.AG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GW7AWUV3ZQCOE7ULYZVYM4IZ6C}

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	2026-05-18T03:12:48.422084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35be0b52bbcc04e27e8bc66b867119f0b76253190fa0367be21fc807c7e0221b

Aliases

arxiv: 1212.4220 · arxiv_version: 1212.4220v2 · doi: 10.48550/arxiv.1212.4220 · pith_short_12: GW7AWUV3ZQCO · pith_short_16: GW7AWUV3ZQCOE7UL · pith_short_8: GW7AWUV3

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/GW7AWUV3ZQCOE7ULYZVYM4IZ6C \
  | 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: 35be0b52bbcc04e27e8bc66b867119f0b76253190fa0367be21fc807c7e0221b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b8cd4c6f0dfc851835918665d67a1a6a4cf17d03942c08b208dee9cb5dbbac",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-18T03:28:05Z",
    "title_canon_sha256": "0ff8329325569533c8580c22e15b5da715123fe9501ef45732fb1f3064da7a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4220",
    "kind": "arxiv",
    "version": 2
  }
}