Pith Number

pith:UWJW6WBR

pith:2026:UWJW6WBRCNDBJPDIBX73AHKCWH

not attested not anchored not stored refs pending

Divisibility of Trace Codes

Haihua Deng, Hexiang Huang, Sihuang Hu

arxiv:2605.19857 v1 · 2026-05-19 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UWJW6WBRCNDBJPDIBX73AHKCWH}

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	2026-05-20T01:06:17.910833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5936f5831134614bc680dffb01d42b1ef3b0b2850fc33af70480f5a2d5064b0

Aliases

arxiv: 2605.19857 · arxiv_version: 2605.19857v1 · doi: 10.48550/arxiv.2605.19857 · pith_short_12: UWJW6WBRCNDB · pith_short_16: UWJW6WBRCNDBJPDI · pith_short_8: UWJW6WBR

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/UWJW6WBRCNDBJPDIBX73AHKCWH \
  | 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: a5936f5831134614bc680dffb01d42b1ef3b0b2850fc33af70480f5a2d5064b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a34eee18cb5e565a103af5e63000346da573760f77ede145038b869a8adbf8",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T13:49:46Z",
    "title_canon_sha256": "4d1e2e598824ca7c19429c3158b21e8d302fc0cfb16737e6f36ef0f85943eeb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19857",
    "kind": "arxiv",
    "version": 1
  }
}