Pith Number

pith:XLIHPMOH

pith:2012:XLIHPMOHYNFTB3GJPYCDTAKVPM

not attested not anchored not stored refs pending

Global mirror symmetry for invertible simple elliptic singularities

Todor MIlanov, Yefeng Shen

arxiv:1210.6862 v2 · 2012-10-25 · 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{XLIHPMOHYNFTB3GJPYCDTAKVPM}

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	2026-05-18T03:02:35.710030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad077b1c7c34b30ecc97e043981557b22db2139fda57ae888b13ccbfaf396ad

Aliases

arxiv: 1210.6862 · arxiv_version: 1210.6862v2 · doi: 10.48550/arxiv.1210.6862 · pith_short_12: XLIHPMOHYNFT · pith_short_16: XLIHPMOHYNFTB3GJ · pith_short_8: XLIHPMOH

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/XLIHPMOHYNFTB3GJPYCDTAKVPM \
  | 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: bad077b1c7c34b30ecc97e043981557b22db2139fda57ae888b13ccbfaf396ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5da26554d7d78e66071ecc2a28a71e262970823f9cd8d1c9f0ff345bef6b64e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-25T14:53:47Z",
    "title_canon_sha256": "8272d88590870067d0b0965c5053a5accb5581acbe09b6e51d8ad73c635fe83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6862",
    "kind": "arxiv",
    "version": 2
  }
}