Pith Number

pith:HLELGLTG

pith:2025:HLELGLTGO6MXULIG7EV3DKM2UR

not attested not anchored not stored refs pending

Stability of the Euclidean 3-ball under L2-curvature pinching

Olivier Graf

arxiv:2502.03823 v1 · 2025-02-06 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLELGLTGO6MXULIG7EV3DKM2UR}

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	2026-07-05T10:10:15.469288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac8b32e6677997a2d06f92bb1a99aa47191e3bc69cedc89d410c35f9875d07f

Aliases

arxiv: 2502.03823 · arxiv_version: 2502.03823v1 · doi: 10.48550/arxiv.2502.03823 · pith_short_12: HLELGLTGO6MX · pith_short_16: HLELGLTGO6MXULIG · pith_short_8: HLELGLTG

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/HLELGLTGO6MXULIG7EV3DKM2UR \
  | 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: 3ac8b32e6677997a2d06f92bb1a99aa47191e3bc69cedc89d410c35f9875d07f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dccebb0600cfb1da7e32b39eed3f89b323f65f8da71eeb7cbc8830b7756423a1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-02-06T07:19:43Z",
    "title_canon_sha256": "c3fabd84ff27f877206ffe167af13d7da2f6ad909c1c540ee5ff3ef920f3b0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03823",
    "kind": "arxiv",
    "version": 1
  }
}