Pith Number

pith:RNOYIIV2

pith:2005:RNOYIIV2777VBBUQSF2SQXB2YB

not attested not anchored not stored refs pending

Mirror Symmetry, Borcherd-Harvey-Moore Products and Determinants of the Calabi-Yau Metrics on K3 Surfaces

Andrey Todorov

arxiv:math/0509641 v1 · 2005-09-27 · 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{RNOYIIV2777VBBUQSF2SQXB2YB}

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	2026-05-18T01:05:23.062204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5d8422baffff5086909175285c3ac0409d9830b81d906aec2e037a33f6073c

Aliases

arxiv: math/0509641 · arxiv_version: math/0509641v1 · doi: 10.48550/arxiv.math/0509641 · pith_short_12: RNOYIIV2777V · pith_short_16: RNOYIIV2777VBBUQ · pith_short_8: RNOYIIV2

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/RNOYIIV2777VBBUQSF2SQXB2YB \
  | 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: 8b5d8422baffff5086909175285c3ac0409d9830b81d906aec2e037a33f6073c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662abcca35a58baf5ddbe2f12ce9dd0107c80334807d35d11f9b5e0172931c16",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-09-27T17:36:51Z",
    "title_canon_sha256": "19f63b68054225282824f9d2685fc0097d67d33bcb2092a7559a79919f754796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509641",
    "kind": "arxiv",
    "version": 1
  }
}