Pith Number

pith:HDD5ZU3W

pith:2019:HDD5ZU3WGX5FITQNFA5JVOVY46

not attested not anchored not stored refs pending

A sharp necessary condition for rectifiable curves in metric spaces

Guy C. David, Raanan Schul

arxiv:1902.04030 v2 · 2019-02-11 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDD5ZU3WGX5FITQNFA5JVOVY46}

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	2026-05-17T23:53:55.435276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c7dcd37635fa544e0d283a9abab8e7aeb426cec2299fd2fe6cab2afdabda93

Aliases

arxiv: 1902.04030 · arxiv_version: 1902.04030v2 · doi: 10.48550/arxiv.1902.04030 · pith_short_12: HDD5ZU3WGX5F · pith_short_16: HDD5ZU3WGX5FITQN · pith_short_8: HDD5ZU3W

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/HDD5ZU3WGX5FITQNFA5JVOVY46 \
  | 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: 38c7dcd37635fa544e0d283a9abab8e7aeb426cec2299fd2fe6cab2afdabda93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc15bc31ab27152492277fe221b9e27894d39c57278293b3aa9193d763d4e79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-02-11T18:11:27Z",
    "title_canon_sha256": "07da62f7bf2cacbf573259dd73df2a16d7ce987b07bca5f6072745c01b9fcbf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04030",
    "kind": "arxiv",
    "version": 2
  }
}