Pith Number

pith:3KXTI3FP

pith:2011:3KXTI3FPNHV2LXRJYWQO3YPICE

not attested not anchored not stored refs pending

Characterization of Tangent Cones of Noncollapsed Limits with Lower Ricci Bounds and Applications

Aaron Naber, Tobias Holck Colding

arxiv:1108.3244 v3 · 2011-08-16 · 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{3KXTI3FPNHV2LXRJYWQO3YPICE}

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	2026-05-18T04:05:05.177881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daaf346caf69eba5de29c5a0ede1e8111edd83ae52cd0b466cbe49858f7c8147

Aliases

arxiv: 1108.3244 · arxiv_version: 1108.3244v3 · doi: 10.48550/arxiv.1108.3244 · pith_short_12: 3KXTI3FPNHV2 · pith_short_16: 3KXTI3FPNHV2LXRJ · pith_short_8: 3KXTI3FP

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/3KXTI3FPNHV2LXRJYWQO3YPICE \
  | 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: daaf346caf69eba5de29c5a0ede1e8111edd83ae52cd0b466cbe49858f7c8147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9236dcbfcedf53f14fa4027c338b21e347f4e5ec9cd35d7007055df2088ce69a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-16T14:15:27Z",
    "title_canon_sha256": "b2d637edd039c181f751811621c977531e72eb1646e0eb9b835c606c19ed5a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3244",
    "kind": "arxiv",
    "version": 3
  }
}