Pith Number

pith:JPUGVHMU

pith:2015:JPUGVHMUWEA5K3PHQQFW4SLGTJ

not attested not anchored not stored refs pending

On the principal Ricci curvatures of a Riemannian 3-manifold

Amir Babak Aazami, Charles M. Melby-Thompson

arxiv:1508.02667 v3 · 2015-08-11 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPUGVHMUWEA5K3PHQQFW4SLGTJ}

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	2026-05-17T23:39:32.777696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be86a9d94b101d56de7840b6e49669a5c1e85b347428030e62c59b6d1a5701f

Aliases

arxiv: 1508.02667 · arxiv_version: 1508.02667v3 · doi: 10.48550/arxiv.1508.02667 · pith_short_12: JPUGVHMUWEA5 · pith_short_16: JPUGVHMUWEA5K3PH · pith_short_8: JPUGVHMU

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/JPUGVHMUWEA5K3PHQQFW4SLGTJ \
  | 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: 4be86a9d94b101d56de7840b6e49669a5c1e85b347428030e62c59b6d1a5701f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785ec1fbebe5f6c0dbb0bdca8f149a242f1ade95d566a4915a80f850c65d30b3",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-11T17:45:11Z",
    "title_canon_sha256": "82f0ae25de72e4153cc65cde22fed69863ec381ba89b254d4cb0a44a215d58a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02667",
    "kind": "arxiv",
    "version": 3
  }
}