Pith Number

pith:YFF2OOSU

pith:2013:YFF2OOSUXNYY4WGB346NZWG5CP

not attested not anchored not stored refs pending

Characterizations of Bounded Ricci Curvature on Smooth and NonSmooth Spaces

Aaron Naber

arxiv:1306.6512 v4 · 2013-06-27 · math.DG · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFF2OOSUXNYY4WGB346NZWG5CP}

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	2026-05-18T02:21:26.631968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14ba73a54bb718e58c1df3cdcd8dd13c9794dff563bb70217c752030de01dc8

Aliases

arxiv: 1306.6512 · arxiv_version: 1306.6512v4 · doi: 10.48550/arxiv.1306.6512 · pith_short_12: YFF2OOSUXNYY · pith_short_16: YFF2OOSUXNYY4WGB · pith_short_8: YFF2OOSU

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/YFF2OOSUXNYY4WGB346NZWG5CP \
  | 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: c14ba73a54bb718e58c1df3cdcd8dd13c9794dff563bb70217c752030de01dc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d10d0fe7e5069d193d27e1683293b09bada7f3f079764d18cd28584ba0bc709",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-27T14:31:23Z",
    "title_canon_sha256": "aa13b02ecccb5e2c9ef5f8a1ca033028765f963076463f75f8bc9209eabd6d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6512",
    "kind": "arxiv",
    "version": 4
  }
}