Pith Number

pith:7LSAMLKG

pith:2017:7LSAMLKGR4AQBJJYQGMXBSQR2W

not attested not anchored not stored refs pending

Mirror symmetry with branes by equivariant Verlinde formulae

Anton Mellit, Du Pei, Tamas Hausel

arxiv:1712.04408 v1 · 2017-12-12 · 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{7LSAMLKGR4AQBJJYQGMXBSQR2W}

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	2026-05-18T00:28:08.119749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fae4062d468f0100a538819970ca11d5b99db0cc30d02eb5a5c42b6da6938ea4

Aliases

arxiv: 1712.04408 · arxiv_version: 1712.04408v1 · doi: 10.48550/arxiv.1712.04408 · pith_short_12: 7LSAMLKGR4AQ · pith_short_16: 7LSAMLKGR4AQBJJY · pith_short_8: 7LSAMLKG

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/7LSAMLKGR4AQBJJYQGMXBSQR2W \
  | 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: fae4062d468f0100a538819970ca11d5b99db0cc30d02eb5a5c42b6da6938ea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9190cd2134d1f91700c89e8f6c594c744d98158668f1b05944015de66ba5363",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-12T17:53:41Z",
    "title_canon_sha256": "9e3899a3fb9065ea2b33da3b6141a679ef1e2a0f07b8646b20aa926dcde94d0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04408",
    "kind": "arxiv",
    "version": 1
  }
}