Pith Number

pith:3WWFVBSH

pith:2016:3WWFVBSHQ4B5CBECNVOHZCOGJE

not attested not anchored not stored refs pending

Open descent and strong approximation

Dasheng Wei

arxiv:1604.00610 v2 · 2016-04-03 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WWFVBSHQ4B5CBECNVOHZCOGJE}

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	2026-05-18T01:17:36.561853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddac5a86478703d104826d5c7c89c6492901c9afa823a4340e57a2156b6378b9

Aliases

arxiv: 1604.00610 · arxiv_version: 1604.00610v2 · doi: 10.48550/arxiv.1604.00610 · pith_short_12: 3WWFVBSHQ4B5 · pith_short_16: 3WWFVBSHQ4B5CBEC · pith_short_8: 3WWFVBSH

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/3WWFVBSHQ4B5CBECNVOHZCOGJE \
  | 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: ddac5a86478703d104826d5c7c89c6492901c9afa823a4340e57a2156b6378b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60fbcc561ee9c08470e48913f7ad87868692f1c9343b0e772de7e133b663833f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-03T08:13:17Z",
    "title_canon_sha256": "b121cade045dec04810d781e12cd08676265a16283ce3f9c356cb17f0b6756f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00610",
    "kind": "arxiv",
    "version": 2
  }
}