Pith Number

pith:2BDMUPJN

pith:2016:2BDMUPJN7LRBVVMYILYNGY3DLO

not attested not anchored not stored refs pending

Euler and Chebyshev: From the sphere to the plane and backwards

Athanase Papadopoulos (IRMA)

arxiv:1608.02724 v1 · 2016-08-09 · math.HO · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BDMUPJN7LRBVVMYILYNGY3DLO}

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	2026-05-18T01:09:33.830590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d046ca3d2dfae21ad59842f0d363635bbf1741379e83ddfb5441f9d5e9dc8e14

Aliases

arxiv: 1608.02724 · arxiv_version: 1608.02724v1 · doi: 10.48550/arxiv.1608.02724 · pith_short_12: 2BDMUPJN7LRB · pith_short_16: 2BDMUPJN7LRBVVMY · pith_short_8: 2BDMUPJN

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/2BDMUPJN7LRBVVMYILYNGY3DLO \
  | 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: d046ca3d2dfae21ad59842f0d363635bbf1741379e83ddfb5441f9d5e9dc8e14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff898690a0d8b6f1a48d5b27ae290033bd10376df1909cbb22afe7094a4ae287",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-08-09T08:47:24Z",
    "title_canon_sha256": "a2ac91bde19721402ce60bcb59bc36d16ade8c461c291a3574c9c868e0276ccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02724",
    "kind": "arxiv",
    "version": 1
  }
}