Pith Number

pith:DW54UT3G

pith:2015:DW54UT3GW6NFUP6W5J72W36CH6

not attested not anchored not stored refs pending

Wild ramification kinks

Andrew Obus, Stefan Wewers

arxiv:1509.04248 v3 · 2015-09-14 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DW54UT3GW6NFUP6W5J72W36CH6}

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	2026-05-18T00:33:27.898173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbbca4f66b79a5a3fd6ea7fab6fc23fb3cd6e1921a594a50c965621b9320392

Aliases

arxiv: 1509.04248 · arxiv_version: 1509.04248v3 · doi: 10.48550/arxiv.1509.04248 · pith_short_12: DW54UT3GW6NF · pith_short_16: DW54UT3GW6NFUP6W · pith_short_8: DW54UT3G

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/DW54UT3GW6NFUP6W5J72W36CH6 \
  | 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: 1dbbca4f66b79a5a3fd6ea7fab6fc23fb3cd6e1921a594a50c965621b9320392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "555b22318905c7464efd99412c56100c1a3d6ad5a5b0305d296968a3fb3847e9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-14T19:18:48Z",
    "title_canon_sha256": "b89340127bd0713d6334e8d42420a2cdaf4ab6083e0edc12214dab17b99f5d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04248",
    "kind": "arxiv",
    "version": 3
  }
}