Pith Number

pith:PAD6UXJQ

pith:2017:PAD6UXJQKAMFLUVHKQUKE3SUEX

not attested not anchored not stored refs pending

Upper and lower bounds on Chillag table sums

Hung P. Tong-Viet, Mark L. Lewis, Xiaoyou Chen

arxiv:1702.02871 v1 · 2017-02-09 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAD6UXJQKAMFLUVHKQUKE3SUEX}

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	2026-05-18T00:51:02.203969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7807ea5d30501855d2a75428a26e5425e454d28b8b60df71e7f267ee91fd8560

Aliases

arxiv: 1702.02871 · arxiv_version: 1702.02871v1 · doi: 10.48550/arxiv.1702.02871 · pith_short_12: PAD6UXJQKAMF · pith_short_16: PAD6UXJQKAMFLUVH · pith_short_8: PAD6UXJQ

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/PAD6UXJQKAMFLUVHKQUKE3SUEX \
  | 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: 7807ea5d30501855d2a75428a26e5425e454d28b8b60df71e7f267ee91fd8560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cd25d5f8a8e77540939fe70e816d7f3f6b24f27428717637bd3a89a7901888c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-09T16:08:01Z",
    "title_canon_sha256": "fb3c17734923d78fa3a2960fb832d6d2dc9da5a1ac8b2b63459b961f692ddc27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02871",
    "kind": "arxiv",
    "version": 1
  }
}