Pith Number

pith:GUXY7VKA

pith:2012:GUXY7VKAMNVBCRTITQJWHW5OSS

not attested not anchored not stored refs pending

On the number of distinct values of a class of functions with finite domain

Robert Coulter, Steven Senger

arxiv:1205.4801 v3 · 2012-05-22 · math.CO · math.GR · 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{GUXY7VKAMNVBCRTITQJWHW5OSS}

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	2026-05-18T03:14:50.312352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352f8fd540636a1146689c1363dbae949148cfc56799913f6ce1a67c906a58a6

Aliases

arxiv: 1205.4801 · arxiv_version: 1205.4801v3 · doi: 10.48550/arxiv.1205.4801 · pith_short_12: GUXY7VKAMNVB · pith_short_16: GUXY7VKAMNVBCRTI · pith_short_8: GUXY7VKA

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/GUXY7VKAMNVBCRTITQJWHW5OSS \
  | 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: 352f8fd540636a1146689c1363dbae949148cfc56799913f6ce1a67c906a58a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad55d432ce44a31f14e8436a58e1ebc048e388be7b53ea0cf74b532233c4100d",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-22T04:25:06Z",
    "title_canon_sha256": "e66bcc7a1a573f6a453b6f74b3619d2d8302565852e26c4fdeceb35c27b59519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4801",
    "kind": "arxiv",
    "version": 3
  }
}