Pith Number

pith:4JZ34UGI

pith:2011:4JZ34UGI3ZJCTLPQGUHONTB2HW

not attested not anchored not stored refs pending

Connecting homomorphisms associated to Tate sequences

Paul Buckingham

arxiv:1101.1850 v1 · 2011-01-10 · 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{4JZ34UGI3ZJCTLPQGUHONTB2HW}

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	2026-05-18T04:31:51.676145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e273be50c8de5229adf0350ee6cc3a3db1a4545d54d58b2fa98e69803018c6a7

Aliases

arxiv: 1101.1850 · arxiv_version: 1101.1850v1 · doi: 10.48550/arxiv.1101.1850 · pith_short_12: 4JZ34UGI3ZJC · pith_short_16: 4JZ34UGI3ZJCTLPQ · pith_short_8: 4JZ34UGI

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/4JZ34UGI3ZJCTLPQGUHONTB2HW \
  | 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: e273be50c8de5229adf0350ee6cc3a3db1a4545d54d58b2fa98e69803018c6a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74490a0abf49beff375410344db6d5f7e756c96c7754b46a0c10812498b240cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-10T15:40:29Z",
    "title_canon_sha256": "1829e8064f7b7f3febbcb6b67541a6ef2ddaaf6b137571d73934ff30a0a031ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1850",
    "kind": "arxiv",
    "version": 1
  }
}