Pith Number

pith:EK23KXUH

pith:2011:EK23KXUHL7R3OABPKQBG3XOSAA

not attested not anchored not stored refs pending

On the mu-invariant of anticyclotomic p-adic L-functions for CM fields

Ming-Lun Hsieh

arxiv:1112.1574 v3 · 2011-12-07 · 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{EK23KXUHL7R3OABPKQBG3XOSAA}

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	2026-05-18T02:21:27.463361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b5b55e875fe3b7002f54026dddd2001fdb1bbf13f30954db6ce1e64347e59f

Aliases

arxiv: 1112.1574 · arxiv_version: 1112.1574v3 · doi: 10.48550/arxiv.1112.1574 · pith_short_12: EK23KXUHL7R3 · pith_short_16: EK23KXUHL7R3OABP · pith_short_8: EK23KXUH

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/EK23KXUHL7R3OABPKQBG3XOSAA \
  | 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: 22b5b55e875fe3b7002f54026dddd2001fdb1bbf13f30954db6ce1e64347e59f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e9f23dc5ac0241aef370583ec05c0fcc151288f363c222ead8e60e3ea1d2091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-07T14:30:58Z",
    "title_canon_sha256": "82eb0c33327e591aac2112635bf813f9d1f3328f230077ad36c7ea8e96f6975f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1574",
    "kind": "arxiv",
    "version": 3
  }
}