Pith Number

pith:PWVQNTB4

pith:2015:PWVQNTB4WDXXDR4V4PV4QBF5MA

not attested not anchored not stored refs pending

Kirszbraun extension on connected finite graph

Erwan Le Gruyer, Thanh Viet Phan

arxiv:1511.01748 v1 · 2015-11-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWVQNTB4WDXXDR4V4PV4QBF5MA}

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	2026-05-18T01:27:39.919498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dab06cc3cb0ef71c795e3ebc804bd602178f0f69212ef7920e50e559320091b

Aliases

arxiv: 1511.01748 · arxiv_version: 1511.01748v1 · doi: 10.48550/arxiv.1511.01748 · pith_short_12: PWVQNTB4WDXX · pith_short_16: PWVQNTB4WDXXDR4V · pith_short_8: PWVQNTB4

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/PWVQNTB4WDXXDR4V4PV4QBF5MA \
  | 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: 7dab06cc3cb0ef71c795e3ebc804bd602178f0f69212ef7920e50e559320091b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466ebb7524dce064aeb671daca8a37f6ce88ebbf10683ac043f3576e69333f33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-11-05T14:03:30Z",
    "title_canon_sha256": "e2617e560b30f2bd2270bfdcdc7afafcbe028d0be784b7e9ff3b80fd2b4da7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01748",
    "kind": "arxiv",
    "version": 1
  }
}