Pith Number

pith:EXUGCXU3

pith:2016:EXUGCXU3ITYWAPNOTPUKQGRZRP

not attested not anchored not stored refs pending

Calculating the Tate local pairing for any odd prime number

Erik Visse

arxiv:1610.00950 v1 · 2016-10-04 · 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{EXUGCXU3ITYWAPNOTPUKQGRZRP}

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	2026-05-18T01:03:12.833663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e8615e9b44f1603dae9be8a81a398bf4bd8f9d9643703e0e16c34b5dd29e65

Aliases

arxiv: 1610.00950 · arxiv_version: 1610.00950v1 · doi: 10.48550/arxiv.1610.00950 · pith_short_12: EXUGCXU3ITYW · pith_short_16: EXUGCXU3ITYWAPNO · pith_short_8: EXUGCXU3

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/EXUGCXU3ITYWAPNOTPUKQGRZRP \
  | 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: 25e8615e9b44f1603dae9be8a81a398bf4bd8f9d9643703e0e16c34b5dd29e65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae86affadb43bc5a2460a4d44bb5ab66d38d1a72185a36a5cdd42c3905ea1d7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-04T12:36:56Z",
    "title_canon_sha256": "7be5c85fd5d45953578d1f60232af2c5be3c3a4334afa06c2af50266aa1bf316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00950",
    "kind": "arxiv",
    "version": 1
  }
}