Pith Number

pith:2EZFPSIF

pith:2008:2EZFPSIFVWXUJTNZW5BCKFH66C

not attested not anchored not stored refs pending

Knot homology groups from instantons

P. B. Kronheimer, T. S. Mrowka

arxiv:0806.1053 v2 · 2008-06-05 · 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{2EZFPSIFVWXUJTNZW5BCKFH66C}

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	2026-05-18T02:58:11.441225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13257c905adaf44cdb9b7422514fef0b98056af7716d7b0eeaca38e8553d2b3

Aliases

arxiv: 0806.1053 · arxiv_version: 0806.1053v2 · doi: 10.48550/arxiv.0806.1053 · pith_short_12: 2EZFPSIFVWXU · pith_short_16: 2EZFPSIFVWXUJTNZ · pith_short_8: 2EZFPSIF

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/2EZFPSIFVWXUJTNZW5BCKFH66C \
  | 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: d13257c905adaf44cdb9b7422514fef0b98056af7716d7b0eeaca38e8553d2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9559f862ec0686142bb24eb8c8f932756b2d5c66e5d8f48e2dd65e02101f3a6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-06-05T20:20:35Z",
    "title_canon_sha256": "5554b3521629c437db68192c750214418dd48076295c3d76ab7874c6bb02c405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1053",
    "kind": "arxiv",
    "version": 2
  }
}