Pith Number

pith:DGEO2R76

pith:2016:DGEO2R763FY37K25V464C37NV6

not attested not anchored not stored refs pending

ABC implies a Zsigmondy principle for ramification

Andrew Bridy, Thomas Tucker

arxiv:1605.04376 v2 · 2016-05-14 · 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{DGEO2R763FY37K25V464C37NV6}

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	2026-05-18T00:48:09.855012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1988ed47fed971bfab5daf3dc16fedaf92434d9cb3b7d59920c1589eb468e471

Aliases

arxiv: 1605.04376 · arxiv_version: 1605.04376v2 · doi: 10.48550/arxiv.1605.04376 · pith_short_12: DGEO2R763FY3 · pith_short_16: DGEO2R763FY37K25 · pith_short_8: DGEO2R76

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/DGEO2R763FY37K25V464C37NV6 \
  | 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: 1988ed47fed971bfab5daf3dc16fedaf92434d9cb3b7d59920c1589eb468e471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212523ee6e62fa955cdadf28ab14d250baec1e93ab5749166eb2537fccac2671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-14T04:22:06Z",
    "title_canon_sha256": "b7611a376615f94a653feb134aca65d7a5513d4b51cd23e043154954c5dd23a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04376",
    "kind": "arxiv",
    "version": 2
  }
}