Pith Number

pith:HUA2CQKS

pith:2011:HUA2CQKS4J3JC4O6HZZBWRFMNW

not attested not anchored not stored refs pending

Sharp H\"older continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

Aaron Naber, Tobias Colding

arxiv:1102.5003 v2 · 2011-02-24 · math.DG · 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{HUA2CQKS4J3JC4O6HZZBWRFMNW}

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	2026-05-18T04:12:33.806355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d01a14152e2769171de3e721b44ac6d81409d7d1f447af73789e0d97b21d9b7

Aliases

arxiv: 1102.5003 · arxiv_version: 1102.5003v2 · doi: 10.48550/arxiv.1102.5003 · pith_short_12: HUA2CQKS4J3J · pith_short_16: HUA2CQKS4J3JC4O6 · pith_short_8: HUA2CQKS

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/HUA2CQKS4J3JC4O6HZZBWRFMNW \
  | 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: 3d01a14152e2769171de3e721b44ac6d81409d7d1f447af73789e0d97b21d9b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8469a35033ec4449f8c7a23061ba93ea048272e356669d1d6060c93b6c1cda7f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-24T14:33:14Z",
    "title_canon_sha256": "3aa2d7b7d4d25be46d4be47cd29374fa9493dc697d024701432f51f393d400ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5003",
    "kind": "arxiv",
    "version": 2
  }
}