Pith Number

pith:6P3ICQMY

pith:2008:6P3ICQMYOHLUASBKAWAZ3TSGKO

not attested not anchored not stored refs pending

Logarithmic Stable Maps

Bumsig Kim

arxiv:0807.3611 v2 · 2008-07-23 · math.AG · 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{6P3ICQMYOHLUASBKAWAZ3TSGKO}

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

1 paper in Pith

Cut and paste invariants of moduli spaces of stable maps to toric surfaces

Receipt and verification

First computed	2026-07-04T15:36:25.713660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f681419871d740482a05819dce4653b28472a20f0c123a902caab7c3a6839a

Aliases

arxiv: 0807.3611 · arxiv_version: 0807.3611v2 · doi: 10.48550/arxiv.0807.3611 · pith_short_12: 6P3ICQMYOHLU · pith_short_16: 6P3ICQMYOHLUASBK · pith_short_8: 6P3ICQMY

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/6P3ICQMYOHLUASBKAWAZ3TSGKO \
  | 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: f3f681419871d740482a05819dce4653b28472a20f0c123a902caab7c3a6839a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "610426ecb41df9fafda71460cd363c5a366833c2d8dfc2eb8e873217302fb8c5",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-23T07:03:47Z",
    "title_canon_sha256": "d7108257eeec4f2aaafbf8fd0452d8866f8b6c07c56ca83b3f52a70aefd2f013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3611",
    "kind": "arxiv",
    "version": 2
  }
}