Pith Number

pith:M6MPQP33

pith:2014:M6MPQP33NIXW2UT7IXUJSSYCCL

not attested not anchored not stored refs pending

The eigencurve over the boundary of weight space

Daqing Wan, Liang Xiao, Ruochuan Liu

arxiv:1412.2584 v4 · 2014-12-08 · 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{M6MPQP33NIXW2UT7IXUJSSYCCL}

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	2026-05-18T00:32:45.178498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6798f83f7b6a2f6d527f45e8994b0212ea3becff055b2b0dd68f2508b3876551

Aliases

arxiv: 1412.2584 · arxiv_version: 1412.2584v4 · doi: 10.48550/arxiv.1412.2584 · pith_short_12: M6MPQP33NIXW · pith_short_16: M6MPQP33NIXW2UT7 · pith_short_8: M6MPQP33

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/M6MPQP33NIXW2UT7IXUJSSYCCL \
  | 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: 6798f83f7b6a2f6d527f45e8994b0212ea3becff055b2b0dd68f2508b3876551

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5164a197c54dd135c32c4ce4c92d6ad3bd0abc0b5f31eee72638e4827d3a3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-08T14:35:54Z",
    "title_canon_sha256": "6ef8f4849ee92cc48c8b0d8619bcbd39cf6194edd545990f1c4d290ae8b98632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2584",
    "kind": "arxiv",
    "version": 4
  }
}