Pith Number

pith:K4THPTBY

pith:2009:K4THPTBYWJKAWBYS7DSIOOGJOW

not attested not anchored not stored refs pending

Seiberg-Witten equations, end-periodic Dirac operators, and a lift of Rohlin's invariant

Daniel Ruberman, Nikolai Saveliev, Tomasz S. Mrowka

arxiv:0905.4319 v3 · 2009-05-27 · math.GT · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4THPTBYWJKAWBYS7DSIOOGJOW}

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	2026-05-18T04:25:11.585754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572677cc38b2540b0712f8e48738c975bacbdd9eb3a1d0e00dd8d28376e3f7e6

Aliases

arxiv: 0905.4319 · arxiv_version: 0905.4319v3 · doi: 10.48550/arxiv.0905.4319 · pith_short_12: K4THPTBYWJKA · pith_short_16: K4THPTBYWJKAWBYS · pith_short_8: K4THPTBY

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/K4THPTBYWJKAWBYS7DSIOOGJOW \
  | 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: 572677cc38b2540b0712f8e48738c975bacbdd9eb3a1d0e00dd8d28376e3f7e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63a568af60dd6b800dc5c6c79b14de0237dc6791c196438a86fc3d1b47c66d02",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-27T19:21:40Z",
    "title_canon_sha256": "002fdb82690ae11d23c54b7035055d0d457edb648e91ecc3160450778ff0b6c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4319",
    "kind": "arxiv",
    "version": 3
  }
}