Pith Number

pith:TRCJJMJU

pith:2013:TRCJJMJUNFNJLXDPNBOJ3X5OIH

not attested not anchored not stored refs pending

A generalization of Kato's local epsilon-conjecture for (phi,Gamma)-modules over the Robba ring

Kentaro Nakamura

arxiv:1305.0880 v3 · 2013-05-04 · 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{TRCJJMJUNFNJLXDPNBOJ3X5OIH}

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	2026-05-18T02:27:05.938221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c4494b134695a95dc6f685c9ddfae41c91de2339cd0b88fdede93e07d392c2c

Aliases

arxiv: 1305.0880 · arxiv_version: 1305.0880v3 · doi: 10.48550/arxiv.1305.0880 · pith_short_12: TRCJJMJUNFNJ · pith_short_16: TRCJJMJUNFNJLXDP · pith_short_8: TRCJJMJU

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/TRCJJMJUNFNJLXDPNBOJ3X5OIH \
  | 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: 9c4494b134695a95dc6f685c9ddfae41c91de2339cd0b88fdede93e07d392c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2f24b874fe2092bc7572325ecb5a469fc1e9b13c2333349cf71bc7287f376f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-04T06:06:25Z",
    "title_canon_sha256": "516f08fdbba95b1690202020d4558486c5df6222ed8b1661c16b6c2b5f74097e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0880",
    "kind": "arxiv",
    "version": 3
  }
}