Pith Number

pith:F74NFE45

pith:2014:F74NFE45CW6X77H5FLCRUEIWKS

not attested not anchored not stored refs pending

Rigidity of Circle Packings with Crosscuts

David Krieg, Elias Wegert

arxiv:1411.3228 v1 · 2014-10-13 · math.CV · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F74NFE45CW6X77H5FLCRUEIWKS}

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	2026-05-18T02:37:45.478219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff8d2939d15bd7ffcfd2ac51a1116548086caf87b792f983bebf82b169b6202

Aliases

arxiv: 1411.3228 · arxiv_version: 1411.3228v1 · doi: 10.48550/arxiv.1411.3228 · pith_short_12: F74NFE45CW6X · pith_short_16: F74NFE45CW6X77H5 · pith_short_8: F74NFE45

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/F74NFE45CW6X77H5FLCRUEIWKS \
  | 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: 2ff8d2939d15bd7ffcfd2ac51a1116548086caf87b792f983bebf82b169b6202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7081c3e93cf97789200b80dc01541c976bbbdc890c07ddc507618035c35501",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-10-13T19:09:56Z",
    "title_canon_sha256": "b8566e5ccbb64802b66093475b5b8b00138038765f2e8b234d4c2640fa3dc7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3228",
    "kind": "arxiv",
    "version": 1
  }
}