Pith Number

pith:VXR2X4TH

pith:2015:VXR2X4THI4CHSBFYIUUM4YTYNQ

not attested not anchored not stored refs pending

Variation of anticyclotomic Iwasawa invariants in Hida families

Chan-Ho Kim, Francesc Castella, Matteo Longo

arxiv:1504.06310 v3 · 2015-04-23 · 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{VXR2X4THI4CHSBFYIUUM4YTYNQ}

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	2026-05-18T00:26:38.154436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade3abf26747047904b84528ce62786c31dcf345442f0e82864fde16051fd8d7

Aliases

arxiv: 1504.06310 · arxiv_version: 1504.06310v3 · doi: 10.48550/arxiv.1504.06310 · pith_short_12: VXR2X4THI4CH · pith_short_16: VXR2X4THI4CHSBFY · pith_short_8: VXR2X4TH

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/VXR2X4THI4CHSBFYIUUM4YTYNQ \
  | 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: ade3abf26747047904b84528ce62786c31dcf345442f0e82864fde16051fd8d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e77b566bbbb15a299c1f40fe671249f3f62a20ad1527279daedf05f499c32c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-23T19:45:14Z",
    "title_canon_sha256": "6ff3d8b164d6c544f43a0a6ab97483a31ab10e1450df0100f85b03d4d5b5ca37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06310",
    "kind": "arxiv",
    "version": 3
  }
}