Pith Number

pith:6MKRQGE5

pith:2006:6MKRQGE5N43AFPUKCMFLKA6PFT

not attested not anchored not stored refs pending

A variational principle for weighted Delaunay triangulations and hyperideal polyhedra

Boris A. Springborn

arxiv:math/0603097 v2 · 2006-03-03 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MKRQGE5N43AFPUKCMFLKA6PFT}

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	2026-05-18T03:13:20.403952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f31518189d6f3602be8a130ab503cf2cdd0b11e225e067481187d8a4c938d28d

Aliases

arxiv: math/0603097 · arxiv_version: math/0603097v2 · doi: 10.48550/arxiv.math/0603097 · pith_short_12: 6MKRQGE5N43A · pith_short_16: 6MKRQGE5N43AFPUK · pith_short_8: 6MKRQGE5

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/6MKRQGE5N43AFPUKCMFLKA6PFT \
  | 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: f31518189d6f3602be8a130ab503cf2cdd0b11e225e067481187d8a4c938d28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e7533996790f983c11b5296da7bfeec9727d3cff90c5b62f82fd74ae891341",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-03-03T17:59:43Z",
    "title_canon_sha256": "42555ac2025fc30487100333ba1531ed3e349186b25bce08f92ee9c27247af21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603097",
    "kind": "arxiv",
    "version": 2
  }
}