Pith Number

pith:T5ERNC54

pith:2019:T5ERNC54MXKMLQQEUD5CEAK23I

not attested not anchored not stored refs pending

On circular distributions and a conjecture of Coleman

David Burns, Soogil Seo

arxiv:1906.00312 v1 · 2019-06-01 · 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{T5ERNC54MXKMLQQEUD5CEAK23I}

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	2026-05-17T23:44:27.495496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f49168bbc65d4c5c204a0fa22015ada372a8b9cd51add41b430f093491d916b

Aliases

arxiv: 1906.00312 · arxiv_version: 1906.00312v1 · doi: 10.48550/arxiv.1906.00312 · pith_short_12: T5ERNC54MXKM · pith_short_16: T5ERNC54MXKMLQQE · pith_short_8: T5ERNC54

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/T5ERNC54MXKMLQQEUD5CEAK23I \
  | 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: 9f49168bbc65d4c5c204a0fa22015ada372a8b9cd51add41b430f093491d916b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26f0acc80750f5bfdbfdd5f5f0be9a6b3ad1e12648577de16149e8d36a2d6e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-06-01T23:28:26Z",
    "title_canon_sha256": "84d5ced90972fa65d3fa96cc9f737677861f31cb6ea227b260fc54f4bd35f1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00312",
    "kind": "arxiv",
    "version": 1
  }
}