Pith Number

pith:EKHNNSP2

pith:2009:EKHNNSP2R47JZSJJG2E3QADSR4

not attested not anchored not stored refs pending

Instanton Floer homology and the Alexander polynomial

P. B. Kronheimer, T. S. Mrowka

arxiv:0907.4639 v2 · 2009-07-27 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EKHNNSP2R47JZSJJG2E3QADSR4}

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	2026-05-18T01:22:31.001719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228ed6c9fa8f3e9cc9293689b800728f247320676ee930f531cd05a486ec771e

Aliases

arxiv: 0907.4639 · arxiv_version: 0907.4639v2 · doi: 10.48550/arxiv.0907.4639 · pith_short_12: EKHNNSP2R47J · pith_short_16: EKHNNSP2R47JZSJJ · pith_short_8: EKHNNSP2

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/EKHNNSP2R47JZSJJG2E3QADSR4 \
  | 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: 228ed6c9fa8f3e9cc9293689b800728f247320676ee930f531cd05a486ec771e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "121fbf4f5abae3bce45f273dd9d3ba4f7810714e2243a5f7f1c45e7a22d37609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-27T14:27:03Z",
    "title_canon_sha256": "fffa35cdd7a3a669c9c0cab3df2f6a5a8972d3d6cd850755f33391851a1c4bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4639",
    "kind": "arxiv",
    "version": 2
  }
}