Pith Number

pith:RBHPYW7P

pith:2001:RBHPYW7P5PTXN6VMSV7XK3ZRFI

not attested not anchored not stored refs pending

Family Seiberg-Witten invariants and wall crossing formulas

Ai-Ko Liu, Tian-Jun Li

arxiv:math/0107211 v2 · 2001-07-29 · math.GT · 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{RBHPYW7P5PTXN6VMSV7XK3ZRFI}

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

Family Seiberg-Witten equation on Kahler surface and $\pi_i(\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces

Receipt and verification

First computed	2026-07-04T14:35:27.187612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

884efc5befebe776faac957f756f312a0637ee1fd702d7fb14a2d88d7693decd

Aliases

arxiv: math/0107211 · arxiv_version: math/0107211v2 · doi: 10.48550/arxiv.math/0107211 · pith_short_12: RBHPYW7P5PTX · pith_short_16: RBHPYW7P5PTXN6VM · pith_short_8: RBHPYW7P

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/RBHPYW7P5PTXN6VMSV7XK3ZRFI \
  | 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: 884efc5befebe776faac957f756f312a0637ee1fd702d7fb14a2d88d7693decd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc66207e291abc056bfb65a651404b084f5661c2e3547e526ffd0625d8e342fc",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-07-29T16:46:00Z",
    "title_canon_sha256": "dd34428bc7be5b144e5b13da1f6dd5ef24cde4b9c7e763a9520b8eebbd87e9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107211",
    "kind": "arxiv",
    "version": 2
  }
}