Pith Number

pith:GDUGJMDE

pith:2014:GDUGJMDEHJL7NY25THBIAY4OTW

not attested not anchored not stored refs pending

Pontryagin duality for Iwasawa modules and abelian varieties

Fabien Trihan, Ignazio Longhi, King Fai Lai, Ki-Seng Tan

arxiv:1406.5815 v1 · 2014-06-23 · 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{GDUGJMDEHJL7NY25THBIAY4OTW}

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	2026-05-18T02:49:10.700972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30e864b0643a57f6e35d99c280638e9daccb76d9630856b4e1995e0dacf0b73f

Aliases

arxiv: 1406.5815 · arxiv_version: 1406.5815v1 · doi: 10.48550/arxiv.1406.5815 · pith_short_12: GDUGJMDEHJL7 · pith_short_16: GDUGJMDEHJL7NY25 · pith_short_8: GDUGJMDE

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/GDUGJMDEHJL7NY25THBIAY4OTW \
  | 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: 30e864b0643a57f6e35d99c280638e9daccb76d9630856b4e1995e0dacf0b73f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9bf1f7f9a3e18bfa74ba5ea94c5ccfaa07a98f89f6667b8dcfb780b5228996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-23T06:33:08Z",
    "title_canon_sha256": "9739bd483869fa447c75b62bc0a384ef6d03703d4874df20d638dcef55766851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5815",
    "kind": "arxiv",
    "version": 1
  }
}