Pith Number

pith:UO67GAV5

pith:2015:UO67GAV5L3CDPGVVJIH3RZ2ZGW

not attested not anchored not stored refs pending

L-Indistinguishability on Eigenvarieties

Judith Ludwig

arxiv:1508.06187 v2 · 2015-08-25 · 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{UO67GAV5L3CDPGVVJIH3RZ2ZGW}

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	2026-05-18T01:18:25.284213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3bdf302bd5ec4379ab54a0fb8e759359b0c7079ae7fc87439e978385e31799d

Aliases

arxiv: 1508.06187 · arxiv_version: 1508.06187v2 · doi: 10.48550/arxiv.1508.06187 · pith_short_12: UO67GAV5L3CD · pith_short_16: UO67GAV5L3CDPGVV · pith_short_8: UO67GAV5

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/UO67GAV5L3CDPGVVJIH3RZ2ZGW \
  | 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: a3bdf302bd5ec4379ab54a0fb8e759359b0c7079ae7fc87439e978385e31799d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbb0adb5afca86df60455d5bc78c50f63aa9f1d32a021863709dd14f6ccccf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-25T15:19:41Z",
    "title_canon_sha256": "de9dd0e69b35c2ae8a2d8841ba7a08d553e4083f05e7e6816a1baa0d5282164c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06187",
    "kind": "arxiv",
    "version": 2
  }
}