Pith Number

pith:ZOI64YHM

pith:2011:ZOI64YHMD7ROEAJNP6QZN5U2XW

not attested not anchored not stored refs pending

Conductors of wild extensions of local fields, especially in mixed characteristic (0,2)

Andrew Obus

arxiv:1109.4776 v3 · 2011-09-22 · 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{ZOI64YHMD7ROEAJNP6QZN5U2XW}

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	2026-05-18T02:26:01.351904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb91ee60ec1fe2e2012d7fa196f69abdb3c47a884ca3204f8abbad9dbcd94e52

Aliases

arxiv: 1109.4776 · arxiv_version: 1109.4776v3 · doi: 10.48550/arxiv.1109.4776 · pith_short_12: ZOI64YHMD7RO · pith_short_16: ZOI64YHMD7ROEAJN · pith_short_8: ZOI64YHM

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/ZOI64YHMD7ROEAJNP6QZN5U2XW \
  | 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: cb91ee60ec1fe2e2012d7fa196f69abdb3c47a884ca3204f8abbad9dbcd94e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea4d48d536a0555b3caf5ae5aa254f5e852e130c040aed09aa16a7975609024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-22T11:31:56Z",
    "title_canon_sha256": "c1b4b7c036806a1a5d79155b41a2c8e4863045b9a73b9a914aba8464a08c1f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4776",
    "kind": "arxiv",
    "version": 3
  }
}