Pith Number

pith:K6PN6WBW

pith:2000:K6PN6WBWG4J7IYQLPCITGXJKYJ

not attested not anchored not stored refs pending

Infinitely ramified Galois representations

Ravi Ramakrishna

arxiv:math/0003241 v1 · 2000-03-01 · 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{K6PN6WBWG4J7IYQLPCITGXJKYJ}

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	2026-05-18T01:05:38.684877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579edf58363713f4620b7891335d2ac25f0dac97d14c42d6cd4825608d89f58a

Aliases

arxiv: math/0003241 · arxiv_version: math/0003241v1 · doi: 10.48550/arxiv.math/0003241 · pith_short_12: K6PN6WBWG4J7 · pith_short_16: K6PN6WBWG4J7IYQL · pith_short_8: K6PN6WBW

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/K6PN6WBWG4J7IYQLPCITGXJKYJ \
  | 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: 579edf58363713f4620b7891335d2ac25f0dac97d14c42d6cd4825608d89f58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d553666d7b8f2e9e75850148beff8509b0d64502146caeb650706fd88ad58b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2000-03-01T00:00:00Z",
    "title_canon_sha256": "680770cb1e2dca9f44face02f98b94b7106372296e0bbb6b1b78d7c2d4b16ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0003241",
    "kind": "arxiv",
    "version": 1
  }
}