Pith Number

pith:TYTRKNI7

pith:1999:TYTRKNI76ZBNCOIIG3KZAEJONQ

not attested not anchored not stored refs pending

Companion forms and weight one forms

Kevin Buzzard, Richard Taylor

arxiv:math/9905207 v1 · 1999-05-01 · 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{TYTRKNI76ZBNCOIIG3KZAEJONQ}

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	2026-05-18T01:05:33.015560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2715351ff642d1390836d590112e6c1ddd75097a7fe9f482e0be692799b2b3

Aliases

arxiv: math/9905207 · arxiv_version: math/9905207v1 · doi: 10.48550/arxiv.math/9905207 · pith_short_12: TYTRKNI76ZBN · pith_short_16: TYTRKNI76ZBNCOII · pith_short_8: TYTRKNI7

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/TYTRKNI76ZBNCOIIG3KZAEJONQ \
  | 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: 9e2715351ff642d1390836d590112e6c1ddd75097a7fe9f482e0be692799b2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28069753f16897828bdece47c79b7890c7624e71169cd403d59f4a8f6940eb12",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-05-01T00:00:00Z",
    "title_canon_sha256": "6b30e4d8e54564fe4f1c35d6c3f828d026a4e6c4e9603395a49f945ad2ad0307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905207",
    "kind": "arxiv",
    "version": 1
  }
}