Pith Number

pith:XWCABR2X

pith:2016:XWCABR2X7LI5IJIQNC74BGNRV7

not attested not anchored not stored refs pending

Complexities Approach to Two Problems In Number Theory

Xiuli Wang, Yang Bai

arxiv:1610.04026 v3 · 2016-10-13 · math.NT · cs.CC · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWCABR2X7LI5IJIQNC74BGNRV7}

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	2026-05-18T01:01:37.428279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8400c757fad1d4251068bfc099b1afff0ca47869cc1591de79afcbcc45db36

Aliases

arxiv: 1610.04026 · arxiv_version: 1610.04026v3 · doi: 10.48550/arxiv.1610.04026 · pith_short_12: XWCABR2X7LI5 · pith_short_16: XWCABR2X7LI5IJIQ · pith_short_8: XWCABR2X

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/XWCABR2X7LI5IJIQNC74BGNRV7 \
  | 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: bd8400c757fad1d4251068bfc099b1afff0ca47869cc1591de79afcbcc45db36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098bb72d003b12451509b4276288155334b127e40ff63e6afeeb7fbeb650d868",
    "cross_cats_sorted": [
      "cs.CC",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-13T11:14:37Z",
    "title_canon_sha256": "583325f091f0ad79584779d0c119e90cafa9cd95ad04ba095772afcb590a9238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04026",
    "kind": "arxiv",
    "version": 3
  }
}