Pith Number

pith:7CONCDVT

pith:2012:7CONCDVTO5LMSQRRQSQ4A2GHIS

not attested not anchored not stored refs pending

Cohomotopy sets of 4-manifolds

Paul Melvin, Peter Teichner, Robion Kirby

arxiv:1203.1608 v2 · 2012-03-07 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CONCDVTO5LMSQRRQSQ4A2GHIS}

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	2026-05-18T01:22:26.808664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f89cd10eb37756c9423184a1c068c744bd55d58469c9a8a14d4f45c5b9b13d53

Aliases

arxiv: 1203.1608 · arxiv_version: 1203.1608v2 · doi: 10.48550/arxiv.1203.1608 · pith_short_12: 7CONCDVTO5LM · pith_short_16: 7CONCDVTO5LMSQRR · pith_short_8: 7CONCDVT

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/7CONCDVTO5LMSQRRQSQ4A2GHIS \
  | 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: f89cd10eb37756c9423184a1c068c744bd55d58469c9a8a14d4f45c5b9b13d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6daec706f7e463fa200b8155fdf787be0d6b3e33c3057a7389e8d8f67798f1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-07T20:58:42Z",
    "title_canon_sha256": "f58707c8a128c0643dbdf0e14cb78fe5a04390608272ac7d821710a787b54527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1608",
    "kind": "arxiv",
    "version": 2
  }
}