Pith Number

pith:3AVTV4K4

pith:2010:3AVTV4K42TX22KJIKMZWZT3VZA

not attested not anchored not stored refs pending

Chern-Simons invariants, SO(3) instantons, and Z/2-homology cobordism

Matthew Hedden, Paul Kirk

arxiv:1009.5365 v1 · 2010-09-27 · 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{3AVTV4K42TX22KJIKMZWZT3VZA}

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	2026-05-18T04:40:10.689469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82b3af15cd4efad292853336ccf75c838ca304f3cdd8ce6beda39f29ea21fc7

Aliases

arxiv: 1009.5365 · arxiv_version: 1009.5365v1 · doi: 10.48550/arxiv.1009.5365 · pith_short_12: 3AVTV4K42TX2 · pith_short_16: 3AVTV4K42TX22KJI · pith_short_8: 3AVTV4K4

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/3AVTV4K42TX22KJIKMZWZT3VZA \
  | 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: d82b3af15cd4efad292853336ccf75c838ca304f3cdd8ce6beda39f29ea21fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52b59cebd76e38b56f95a0c2ae92b687df6d65bb60b9306bedf03d1b7ee231c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-27T19:32:22Z",
    "title_canon_sha256": "847e7ff4a6a0458e6127b4e2a13bd8c300d0b4e7b8ef289c48eb56b71d13d029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5365",
    "kind": "arxiv",
    "version": 1
  }
}