Pith Number

pith:JTO67BRD

pith:2016:JTO67BRD4NBZYCIXYUCCZBHJM2

not attested not anchored not stored refs pending

Rectifiability of planes and Alberti representations

Bruce Kleiner, Guy C. David

arxiv:1611.05284 v1 · 2016-11-16 · math.MG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTO67BRD4NBZYCIXYUCCZBHJM2}

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	2026-05-18T00:58:27.432520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cddef8623e3439c0917c5042c84e966a8c574ed062974c14d04b7018165efde

Aliases

arxiv: 1611.05284 · arxiv_version: 1611.05284v1 · doi: 10.48550/arxiv.1611.05284 · pith_short_12: JTO67BRD4NBZ · pith_short_16: JTO67BRD4NBZYCIX · pith_short_8: JTO67BRD

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/JTO67BRD4NBZYCIXYUCCZBHJM2 \
  | 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: 4cddef8623e3439c0917c5042c84e966a8c574ed062974c14d04b7018165efde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2ca4540886d5cfa1740bc6ec8f2ae98a0d3c3e1e072ef7b54f806b790f84835",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-11-16T14:22:44Z",
    "title_canon_sha256": "972b78e45e1dd0162dbee6ad85a70f16c73edd11a298db9c56786d4b682c1808"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05284",
    "kind": "arxiv",
    "version": 1
  }
}