Pith Number

pith:GZNPXO4N

pith:2006:GZNPXO4NEAAGZ47OLI5LEEE3QP

not attested not anchored not stored refs pending

L1TV computes the flat norm for boundaries

Kevin R. Vixie, Simon P. Morgan

arxiv:math/0612287 v6 · 2006-12-11 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZNPXO4NEAAGZ47OLI5LEEE3QP}

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	2026-05-18T01:38:23.467622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365afbbb8d20006cf3ee5a3ab2109b83dd21e1d9874eec43cb9b828f5b8f267f

Aliases

arxiv: math/0612287 · arxiv_version: math/0612287v6 · doi: 10.48550/arxiv.math/0612287 · pith_short_12: GZNPXO4NEAAG · pith_short_16: GZNPXO4NEAAGZ47O · pith_short_8: GZNPXO4N

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/GZNPXO4NEAAGZ47OLI5LEEE3QP \
  | 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: 365afbbb8d20006cf3ee5a3ab2109b83dd21e1d9874eec43cb9b828f5b8f267f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b7fc060ec09a0b436739672e0b9b2a3d3ec1df792d4e59f438c096c3089a5a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-12-11T19:17:01Z",
    "title_canon_sha256": "43c84f729d4ec19224ad85f04370d037ab8c38517b9348680580924d29699f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612287",
    "kind": "arxiv",
    "version": 6
  }
}