Pith Number

pith:CM6G6YTY

pith:2017:CM6G6YTYAILR3B65VENFWUMGKX

not attested not anchored not stored refs pending

Polynomial functions as splines

David Kazhdan, Tamar Ziegler

arxiv:1712.09047 v3 · 2017-12-25 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CM6G6YTYAILR3B65VENFWUMGKX}

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	2026-05-17T23:59:17.783134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133c6f627802171d87dda91a5b518655ef92ee2016011218dff48f18a825f7a4

Aliases

arxiv: 1712.09047 · arxiv_version: 1712.09047v3 · doi: 10.48550/arxiv.1712.09047 · pith_short_12: CM6G6YTYAILR · pith_short_16: CM6G6YTYAILR3B65 · pith_short_8: CM6G6YTY

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/CM6G6YTYAILR3B65VENFWUMGKX \
  | 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: 133c6f627802171d87dda91a5b518655ef92ee2016011218dff48f18a825f7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e6032869d76371f102c8fdac3de0271981b66af257f6e2acca930c09a347b5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-25T09:35:51Z",
    "title_canon_sha256": "38c28a6c6b9e7035365c298bf968c8967c81fe7e8e296380b090542ba072176f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09047",
    "kind": "arxiv",
    "version": 3
  }
}