Pith Number

pith:FMOZJQOR

pith:2014:FMOZJQORW7ZEPHEQKAZWNIMBHK

not attested not anchored not stored refs pending

Positive Ricci curvature on highly connected manifolds

David J. Wraith, Diarmuid Crowley

arxiv:1404.7446 v4 · 2014-04-29 · math.DG · math.AT · 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{FMOZJQORW7ZEPHEQKAZWNIMBHK}

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	2026-05-18T02:27:29.300606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b1d94c1d1b7f2479c90503366a1813a9d9b0e3a8afaebe80344d9560924cf49

Aliases

arxiv: 1404.7446 · arxiv_version: 1404.7446v4 · doi: 10.48550/arxiv.1404.7446 · pith_short_12: FMOZJQORW7ZE · pith_short_16: FMOZJQORW7ZEPHEQ · pith_short_8: FMOZJQOR

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/FMOZJQORW7ZEPHEQKAZWNIMBHK \
  | 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: 2b1d94c1d1b7f2479c90503366a1813a9d9b0e3a8afaebe80344d9560924cf49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbc19ac23e666baba53d3ab5e7cc8d4f7fee14d1bed0df7a30dc9abd33c6524",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-29T18:10:20Z",
    "title_canon_sha256": "156182f94c07c9b1c7425db50fccf0aeba3cbf38dac866383db4c8eb3d3561c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7446",
    "kind": "arxiv",
    "version": 4
  }
}