Pith Number

pith:X5AQ4DGG

pith:2012:X5AQ4DGGFQHJT3X6YAIGXAYICE

not attested not anchored not stored refs pending

Delaunay Hodge Star

Anil N. Hirani, Evan B. VanderZee, Kaushik Kalyanaraman

arxiv:1204.0747 v4 · 2012-04-03 · cs.CG · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5AQ4DGGFQHJT3X6YAIGXAYICE}

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	2026-05-18T00:38:23.799667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf410e0cc62c0e99eefec0106b83081135ee365fdf098d874e84c270c9f71fca

Aliases

arxiv: 1204.0747 · arxiv_version: 1204.0747v4 · doi: 10.48550/arxiv.1204.0747 · pith_short_12: X5AQ4DGGFQHJ · pith_short_16: X5AQ4DGGFQHJT3X6 · pith_short_8: X5AQ4DGG

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/X5AQ4DGGFQHJT3X6YAIGXAYICE \
  | 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: bf410e0cc62c0e99eefec0106b83081135ee365fdf098d874e84c270c9f71fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d9da869c13611a86b6b51a7e2ae724f02586836702b5d47cde3101314f57a3",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-04-03T17:51:07Z",
    "title_canon_sha256": "ddfd9fca15fee5e6c915317b7e9510cf7dbc9bcf98ed14fb80a3693c91c0da79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0747",
    "kind": "arxiv",
    "version": 4
  }
}