Pith Number

pith:GTRF4JJY

pith:2017:GTRF4JJYHAYDDCTT32AGTZENWY

not attested not anchored not stored refs pending

A result on the analytic $\mu$-invariant of elliptic curves

Francesca Bianchi

arxiv:1704.00467 v1 · 2017-04-03 · 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{GTRF4JJYHAYDDCTT32AGTZENWY}

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	2026-05-18T00:47:22.245547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e25e25383830318a73de8069e48db614249da19288a0ead1d17a3854276022

Aliases

arxiv: 1704.00467 · arxiv_version: 1704.00467v1 · doi: 10.48550/arxiv.1704.00467 · pith_short_12: GTRF4JJYHAYD · pith_short_16: GTRF4JJYHAYDDCTT · pith_short_8: GTRF4JJY

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/GTRF4JJYHAYDDCTT32AGTZENWY \
  | 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: 34e25e25383830318a73de8069e48db614249da19288a0ead1d17a3854276022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d69d39f3e84fa6f7876c6ee1e3d81eb5d17351b2923345d9d9a47e8ba349161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-03T08:32:43Z",
    "title_canon_sha256": "2378ed95d4be9ea1c3baf9ee0107ff4af690e3833fd517f906cacbaeeef606dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00467",
    "kind": "arxiv",
    "version": 1
  }
}