Pith Number

pith:NJIPFDTS

pith:2013:NJIPFDTSMM6LK4HOKVZUAJXCY6

not attested not anchored not stored refs pending

Wall-crossing in genus zero quasimap theory and mirror maps

Bumsig Kim, Ionut Ciocan-Fontanine

arxiv:1304.7056 v3 · 2013-04-26 · 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{NJIPFDTSMM6LK4HOKVZUAJXCY6}

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	2026-05-18T02:51:06.586849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a50f28e72633cb570ee55734026e2c7887b30202838ef313426eebbf48afa1b

Aliases

arxiv: 1304.7056 · arxiv_version: 1304.7056v3 · doi: 10.48550/arxiv.1304.7056 · pith_short_12: NJIPFDTSMM6L · pith_short_16: NJIPFDTSMM6LK4HO · pith_short_8: NJIPFDTS

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/NJIPFDTSMM6LK4HOKVZUAJXCY6 \
  | 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: 6a50f28e72633cb570ee55734026e2c7887b30202838ef313426eebbf48afa1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24492805affa6ad1d6d7210f6d170494f1ecd21a6e9dec05aae0b6f61f5a9bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-26T03:07:33Z",
    "title_canon_sha256": "ef6cdd37a480b02b23d714d42810ca360422e9aed02463ac8b93e8ff9f6811c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7056",
    "kind": "arxiv",
    "version": 3
  }
}