Pith Number

pith:4BRRGF2Y

pith:2019:4BRRGF2YFZMNXVRGV32J4DJRHG

not attested not anchored not stored refs pending

Fano mirror periods from the Frobenius structure conjecture

Travis Mandel

arxiv:1903.12014 v1 · 2019-03-28 · 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{4BRRGF2YFZMNXVRGV32J4DJRHG}

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.

Cited by

4 papers in Pith

Refined curve counting with descendants and quantum mirrors

Exponential concentration for quantum periods via mirror symmetry

On Arithmetic Mirror Symmetry for smooth Fano fourfolds

Receipt and verification

First computed	2026-05-17T23:49:58.336740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0631317582e58dbd626aef49e0d3139b40a358203c39cfdd5ff7d8155df461f

Aliases

arxiv: 1903.12014 · arxiv_version: 1903.12014v1 · doi: 10.48550/arxiv.1903.12014 · pith_short_12: 4BRRGF2YFZMN · pith_short_16: 4BRRGF2YFZMNXVRG · pith_short_8: 4BRRGF2Y

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/4BRRGF2YFZMNXVRGV32J4DJRHG \
  | 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: e0631317582e58dbd626aef49e0d3139b40a358203c39cfdd5ff7d8155df461f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a5048b94680d66c2a4eba5e95f876ca40de50782aa4bfde9da32022ce4eccd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-28T14:44:56Z",
    "title_canon_sha256": "0ddfffbee13f7cf63d912f2d285bfadd07dd4f227637424abacf51ec3176ac30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12014",
    "kind": "arxiv",
    "version": 1
  }
}