Pith Number

pith:3YZOE7D6

pith:2012:3YZOE7D6P4QJUN4LQOS7AU2NBG

not attested not anchored not stored refs pending

Counting genus zero real curves in symplectic manifolds

Aleksey Zinger, Mohammad Farajzadeh Tehrani

arxiv:1205.1809 v4 · 2012-05-08 · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YZOE7D6P4QJUN4LQOS7AU2NBG}

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	2026-05-18T01:15:47.373266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de32e27c7e7f209a378b83a5f0534d099b812302ca0c06efce9ead79734b2446

Aliases

arxiv: 1205.1809 · arxiv_version: 1205.1809v4 · doi: 10.48550/arxiv.1205.1809 · pith_short_12: 3YZOE7D6P4QJ · pith_short_16: 3YZOE7D6P4QJUN4L · pith_short_8: 3YZOE7D6

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/3YZOE7D6P4QJUN4LQOS7AU2NBG \
  | 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: de32e27c7e7f209a378b83a5f0534d099b812302ca0c06efce9ead79734b2446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a28521be2e1d6b7bd09ae0174250475e2bef2ec93bf654d05c704fe5b1fadc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-05-08T20:10:50Z",
    "title_canon_sha256": "df27fe008dcf7600c5cfee0d13220df8b472cab123dbc2e701833721d306eadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1809",
    "kind": "arxiv",
    "version": 4
  }
}