Pith Number

pith:OP72J27N

pith:2014:OP72J27NNAIMJNYI6D4QBEVUTE

not attested not anchored not stored refs pending

Local mirror symmetry in the tropics

Bernd Siebert, Mark Gross

arxiv:1404.3585 v1 · 2014-04-14 · 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{OP72J27NNAIMJNYI6D4QBEVUTE}

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	2026-05-18T02:54:14.895245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ffa4ebed6810c4b708f0f90092b4993a4992271c971fc85906d26d6a84e1e7

Aliases

arxiv: 1404.3585 · arxiv_version: 1404.3585v1 · doi: 10.48550/arxiv.1404.3585 · pith_short_12: OP72J27NNAIM · pith_short_16: OP72J27NNAIMJNYI · pith_short_8: OP72J27N

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/OP72J27NNAIMJNYI6D4QBEVUTE \
  | 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: 73ffa4ebed6810c4b708f0f90092b4993a4992271c971fc85906d26d6a84e1e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b8932d036bdd3e604c1d5ff239e7887aaf13f67fbbfaaab320486296ac0f42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-14T14:04:32Z",
    "title_canon_sha256": "047ba53e6fedfdfd579c7691e135df705a88712aa06f5dd88bc78a2f6287e2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3585",
    "kind": "arxiv",
    "version": 1
  }
}