Pith Number

pith:RMBQ5ZWH

pith:2011:RMBQ5ZWHOKEHIKY763CX2R7N7O

not attested not anchored not stored refs pending

Lower Bounds on Ricci Curvature and Quantitative Behavior of Singular Sets

Aaron Naber, Jeff Cheeger

arxiv:1103.1819 v4 · 2011-03-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMBQ5ZWHOKEHIKY763CX2R7N7O}

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	2026-05-18T03:41:59.012555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b030ee6c77288742b1ff6c57d47edfbb64d8c5c9a6cae4dbf0f2e755d3e09ac

Aliases

arxiv: 1103.1819 · arxiv_version: 1103.1819v4 · doi: 10.48550/arxiv.1103.1819 · pith_short_12: RMBQ5ZWHOKEH · pith_short_16: RMBQ5ZWHOKEHIKY7 · pith_short_8: RMBQ5ZWH

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/RMBQ5ZWHOKEHIKY763CX2R7N7O \
  | 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: 8b030ee6c77288742b1ff6c57d47edfbb64d8c5c9a6cae4dbf0f2e755d3e09ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73564f4ec73b8a6e9122dbf9f9c77161c45753cf862d4932497f842735052bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-09T16:15:13Z",
    "title_canon_sha256": "63794de7102a42bd59cbae479cf17d26ce5ba96d3a6032f3b31595ff4a89b35e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1819",
    "kind": "arxiv",
    "version": 4
  }
}