Pith Number

pith:4QRBRBNY

pith:2012:4QRBRBNY2MOY2EMEMWG44UTNED

not attested not anchored not stored refs pending

Analytical Solution for the Generalized Fermat-Torricelli Problem

Alexei Yu. Uteshev

arxiv:1208.3324 v1 · 2012-08-16 · 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{4QRBRBNY2MOY2EMEMWG44UTNED}

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	2026-05-18T02:54:47.261708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4221885b8d31d8d1184658dce526d20e165939467d1974f35cbc7007af28e7b

Aliases

arxiv: 1208.3324 · arxiv_version: 1208.3324v1 · doi: 10.48550/arxiv.1208.3324 · pith_short_12: 4QRBRBNY2MOY · pith_short_16: 4QRBRBNY2MOY2EME · pith_short_8: 4QRBRBNY

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/4QRBRBNY2MOY2EMEMWG44UTNED \
  | 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: e4221885b8d31d8d1184658dce526d20e165939467d1974f35cbc7007af28e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b60f6c10f67bc27ef2e1035f10d7c53d5ea0a867b5b98cf20ec3865c25cb1060",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-08-16T09:37:39Z",
    "title_canon_sha256": "de8500c27f64a9209ea6807a5c17db900efc38c6a4e7662cf56e17102ef95e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3324",
    "kind": "arxiv",
    "version": 1
  }
}