Pith Number

pith:ZBW7HPNB

pith:2012:ZBW7HPNBB6G27UP22FWL5TVFSE

not attested not anchored not stored refs pending

Calculus on Surfaces with General Closest Point Functions

Colin B. Macdonald, Thomas M\"arz

arxiv:1202.3001 v2 · 2012-02-14 · math.NA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBW7HPNBB6G27UP22FWL5TVFSE}

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	2026-05-18T03:17:25.066301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86df3bda10f8dafd1fad16cbecea591252a6b477801158ef43d1fce655fa723

Aliases

arxiv: 1202.3001 · arxiv_version: 1202.3001v2 · doi: 10.48550/arxiv.1202.3001 · pith_short_12: ZBW7HPNBB6G2 · pith_short_16: ZBW7HPNBB6G27UP2 · pith_short_8: ZBW7HPNB

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/ZBW7HPNBB6G27UP22FWL5TVFSE \
  | 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: c86df3bda10f8dafd1fad16cbecea591252a6b477801158ef43d1fce655fa723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db6f8aa8952456abc8e059e3521a50af31690b7536aef4e2fad15ad9efa8817e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-14T11:23:16Z",
    "title_canon_sha256": "1465c14a22ff7f68ca56a6e39a0da47cc99200b2e80cb81829f298b55f2b0b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3001",
    "kind": "arxiv",
    "version": 2
  }
}