Pith Number

pith:ZJQEGS3V

pith:2016:ZJQEGS3VW6GWOOLIH3DQT27CDY

not attested not anchored not stored refs pending

On the bifurcation set of unique expansions

Charlene Kalle, Derong Kong, Fan L\"u, Wenxia Li

arxiv:1612.07982 v5 · 2016-12-23 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJQEGS3VW6GWOOLIH3DQT27CDY}

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	2026-05-18T00:11:00.628671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca60434b75b78d6739683ec709ebe21e17d8bcccbf8ee3fdd1bb82876d1f35b1

Aliases

arxiv: 1612.07982 · arxiv_version: 1612.07982v5 · doi: 10.48550/arxiv.1612.07982 · pith_short_12: ZJQEGS3VW6GW · pith_short_16: ZJQEGS3VW6GWOOLI · pith_short_8: ZJQEGS3V

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/ZJQEGS3VW6GWOOLIH3DQT27CDY \
  | 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: ca60434b75b78d6739683ec709ebe21e17d8bcccbf8ee3fdd1bb82876d1f35b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17862bbc50602d4bb534ad7b386005c49067b83832c3571d75b724e2221d5043",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-23T14:26:41Z",
    "title_canon_sha256": "ee83cff9b43028d2afbbd02d380dc533c04974173d24efabca2e5734dfd56ec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07982",
    "kind": "arxiv",
    "version": 5
  }
}