Pith Number

pith:VZRBHFFA

pith:2015:VZRBHFFAYYBNFMJ4OPJ746XT7Q

not attested not anchored not stored refs pending

Iterating evolutes and involutes

D. Fuchs, E. Tsukerman, I. Izmestiev, M. Arnold, S. Tabachnikov

arxiv:1510.07742 v2 · 2015-10-27 · math.DS · math.DG · 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{VZRBHFFAYYBNFMJ4OPJ746XT7Q}

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	2026-05-18T01:06:21.167041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae621394a0c602d2b13c73d3fe7af3fc0c75d63bc2809f9f6f31817a31fab6a7

Aliases

arxiv: 1510.07742 · arxiv_version: 1510.07742v2 · doi: 10.48550/arxiv.1510.07742 · pith_short_12: VZRBHFFAYYBN · pith_short_16: VZRBHFFAYYBNFMJ4 · pith_short_8: VZRBHFFA

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/VZRBHFFAYYBNFMJ4OPJ746XT7Q \
  | 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: ae621394a0c602d2b13c73d3fe7af3fc0c75d63bc2809f9f6f31817a31fab6a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7662c31b31cad5b047a2a1c377cd7f22ea59a34f3587efb4b350acbb22f5cbe",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-27T01:11:29Z",
    "title_canon_sha256": "7b7a36241cf30c024d967df43f5e537121130fabc32ddd5a8a8547e92712b1db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07742",
    "kind": "arxiv",
    "version": 2
  }
}