Pith Number

pith:ADFAPXQL

pith:2013:ADFAPXQLSALXGHMPOHC4QV4YNK

not attested not anchored not stored refs pending

Distinct Distances on Curves via Rigidity

Marcos Charalambides

arxiv:1307.0870 v2 · 2013-07-02 · math.MG · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADFAPXQLSALXGHMPOHC4QV4YNK}

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	2026-05-18T02:54:46.985219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ca07de0b9017731d8f71c5c857986a9ff9a3df234294104754ecd6bd6ecdf5

Aliases

arxiv: 1307.0870 · arxiv_version: 1307.0870v2 · doi: 10.48550/arxiv.1307.0870 · pith_short_12: ADFAPXQLSALX · pith_short_16: ADFAPXQLSALXGHMP · pith_short_8: ADFAPXQL

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/ADFAPXQLSALXGHMPOHC4QV4YNK \
  | 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: 00ca07de0b9017731d8f71c5c857986a9ff9a3df234294104754ecd6bd6ecdf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d24471986313a5be7e9fc55ac64011bf7b6987f8858913910cbfcceb096da7",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-07-02T22:17:15Z",
    "title_canon_sha256": "4f08fd56594300c335bfe5e05dfeb4c3483d8ef8d6e9b6aaf3ad72a1ff6d548e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0870",
    "kind": "arxiv",
    "version": 2
  }
}