Pith Number

pith:BDTX3AU2

pith:2015:BDTX3AU2SA47HSYVLNTMWYFVCW

not attested not anchored not stored refs pending

$(\beta)$-distortion of some infinite graphs

Florent P. Baudier, Sheng Zhang

arxiv:1504.04250 v1 · 2015-04-16 · math.MG · 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{BDTX3AU2SA47HSYVLNTMWYFVCW}

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	2026-05-18T00:34:24.990967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e77d829a9039f3cb155b66cb60b515a5707f649fc16813dc904e3ed4b492d1

Aliases

arxiv: 1504.04250 · arxiv_version: 1504.04250v1 · doi: 10.48550/arxiv.1504.04250 · pith_short_12: BDTX3AU2SA47 · pith_short_16: BDTX3AU2SA47HSYV · pith_short_8: BDTX3AU2

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/BDTX3AU2SA47HSYVLNTMWYFVCW \
  | 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: 08e77d829a9039f3cb155b66cb60b515a5707f649fc16813dc904e3ed4b492d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d9ae5088cf1f887c172dd91a1963ac2539a6b1c40813673d43cf436e0a147d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-04-16T14:31:44Z",
    "title_canon_sha256": "59b84bc5c27398c108787e92154227bfab07277b44c6e6c21d707fb1d4ec8f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04250",
    "kind": "arxiv",
    "version": 1
  }
}