Pith Number

pith:O4KSJCRE

pith:2014:O4KSJCREZ7POOXOO3CPU57BXFY

not attested not anchored not stored refs pending

Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds

Micha{\l} Marcinkowski

arxiv:1408.0372 v3 · 2014-08-02 · math.GT · math.AT · math.DG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4KSJCREZ7POOXOO3CPU57BXFY}

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	2026-05-18T01:19:55.648896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7715248a24cfdee75dced89f4efc372e15049ba39392b43900044d8013b7645a

Aliases

arxiv: 1408.0372 · arxiv_version: 1408.0372v3 · doi: 10.48550/arxiv.1408.0372 · pith_short_12: O4KSJCREZ7PO · pith_short_16: O4KSJCREZ7POOXOO · pith_short_8: O4KSJCRE

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/O4KSJCREZ7POOXOO3CPU57BXFY \
  | 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: 7715248a24cfdee75dced89f4efc372e15049ba39392b43900044d8013b7645a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fad3fdef786be6f842cf5292e863036bb9cec49373146f3ad44a52d2ca7bfa46",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-02T13:54:09Z",
    "title_canon_sha256": "f955174daaeec95b0d6a0b82129854520083353ca839258e79fe368004cb8c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0372",
    "kind": "arxiv",
    "version": 3
  }
}