Pith Number

pith:VNGSE2B4

pith:2015:VNGSE2B44QOA7PWRJ6KNYCOMRH

not attested not anchored not stored refs pending

Splines in geometry and topology

Julianna Tymoczko

arxiv:1511.07555 v1 · 2015-11-24 · math.NA · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNGSE2B44QOA7PWRJ6KNYCOMRH}

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	2026-05-18T01:26:04.412177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab4d22683ce41c0fbed14f94dc09cc89d7aff08fa5d6a754e46f7a0ac9be44ee

Aliases

arxiv: 1511.07555 · arxiv_version: 1511.07555v1 · doi: 10.48550/arxiv.1511.07555 · pith_short_12: VNGSE2B44QOA · pith_short_16: VNGSE2B44QOA7PWR · pith_short_8: VNGSE2B4

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/VNGSE2B44QOA7PWRJ6KNYCOMRH \
  | 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: ab4d22683ce41c0fbed14f94dc09cc89d7aff08fa5d6a754e46f7a0ac9be44ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6280bed537af6e669a3d1dce8e9583ac3c9ee8402203b0b0efad68854bcb947a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-24T03:41:05Z",
    "title_canon_sha256": "b3dfc7d90e0e8615dc55ee9962fc89bbefbf3e51480d1ca43904da156183333a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07555",
    "kind": "arxiv",
    "version": 1
  }
}