Pith Number

pith:TZCOP4YT

pith:2014:TZCOP4YTGZW7ZLEOJCEUBE7YZR

not attested not anchored not stored refs pending

A sphere theorem for three dimensional manifolds with integral pinched curvature

Gilles Carron (LMJL), Vincent Bour (LMJL)

arxiv:1408.7091 v1 · 2014-08-29 · 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{TZCOP4YTGZW7ZLEOJCEUBE7YZR}

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	2026-05-18T02:43:59.685643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e44e7f313366dfcac8e48894093f8cc71d852f3174f8797c67199c58b757edb

Aliases

arxiv: 1408.7091 · arxiv_version: 1408.7091v1 · doi: 10.48550/arxiv.1408.7091 · pith_short_12: TZCOP4YTGZW7 · pith_short_16: TZCOP4YTGZW7ZLEO · pith_short_8: TZCOP4YT

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/TZCOP4YTGZW7ZLEOJCEUBE7YZR \
  | 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: 9e44e7f313366dfcac8e48894093f8cc71d852f3174f8797c67199c58b757edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd3bdaae687fa93b9126ed0f6bc154a4df0f67e795a56d49ec87297d6312835",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-29T18:12:45Z",
    "title_canon_sha256": "b6d86ebacd31e3ed84918e9c2047b637d5cb497752d075bf295c1fc70fb3721b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.7091",
    "kind": "arxiv",
    "version": 1
  }
}