Pith Number

pith:75SDRQTD

pith:2012:75SDRQTD7UPGLGIFPK32JB45PX

not attested not anchored not stored refs pending

Weighted representation functions on $\mathbb{Z}_m$

Quan-Hui Yang, Yong-Gao Chen

arxiv:1208.4195 v1 · 2012-08-21 · math.NT · 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{75SDRQTD7UPGLGIFPK32JB45PX}

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	2026-05-18T02:42:54.256503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6438c263fd1e6599057ab7a4879d7ddfe43bbad60f6669970864116ecb955a

Aliases

arxiv: 1208.4195 · arxiv_version: 1208.4195v1 · doi: 10.48550/arxiv.1208.4195 · pith_short_12: 75SDRQTD7UPG · pith_short_16: 75SDRQTD7UPGLGIF · pith_short_8: 75SDRQTD

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/75SDRQTD7UPGLGIFPK32JB45PX \
  | 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: ff6438c263fd1e6599057ab7a4879d7ddfe43bbad60f6669970864116ecb955a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac0fe6faead4e4568a019312179856074de8853c374a9f552cad2c45abc94d0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-21T05:41:27Z",
    "title_canon_sha256": "36d95f208f7ca3ddf2c875eb4bb9409ab06a67022c5e15fcc09dd2077ef8b3a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4195",
    "kind": "arxiv",
    "version": 1
  }
}