Pith Number

pith:TGGHF7FM

pith:2018:TGGHF7FMD2DUIBVB3ISL2PERHP

not attested not anchored not stored refs pending

Geometric and spectral estimates based on spectral Ricci curvature assumptions

Christian Rose, Gilles Carron

arxiv:1808.06965 v1 · 2018-08-21 · 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{TGGHF7FMD2DUIBVB3ISL2PERHP}

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	2026-05-18T00:07:38.524893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998c72fcac1e874406a1da24bd3c913bd591d6b8eea386fbcacf8573ea0fa73a

Aliases

arxiv: 1808.06965 · arxiv_version: 1808.06965v1 · doi: 10.48550/arxiv.1808.06965 · pith_short_12: TGGHF7FMD2DU · pith_short_16: TGGHF7FMD2DUIBVB · pith_short_8: TGGHF7FM

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/TGGHF7FMD2DUIBVB3ISL2PERHP \
  | 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: 998c72fcac1e874406a1da24bd3c913bd591d6b8eea386fbcacf8573ea0fa73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c408e2d2fe5f760ace2632dbf3eec6c93449c564a1524aa86e3da3257aac12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-21T15:27:32Z",
    "title_canon_sha256": "ca15c9df9fdfe49bda7d065c6d96da15f8e31154027e9649948ce8d8cddff423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06965",
    "kind": "arxiv",
    "version": 1
  }
}