Pith Number

pith:WPZ5ZCBM

pith:2016:WPZ5ZCBM432EPESBXO6IAY7B2B

not attested not anchored not stored refs pending

On $(p,r)$-Filtrations and Tilting Modules

Paul Sobaje

arxiv:1610.09323 v1 · 2016-10-28 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPZ5ZCBM432EPESBXO6IAY7B2B}

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	2026-05-18T01:00:58.456143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f3dc882ce6f4479241bbbc8063e1d058480130b7281aaad5fc93e32d790c05

Aliases

arxiv: 1610.09323 · arxiv_version: 1610.09323v1 · doi: 10.48550/arxiv.1610.09323 · pith_short_12: WPZ5ZCBM432E · pith_short_16: WPZ5ZCBM432EPESB · pith_short_8: WPZ5ZCBM

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/WPZ5ZCBM432EPESBXO6IAY7B2B \
  | 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: b3f3dc882ce6f4479241bbbc8063e1d058480130b7281aaad5fc93e32d790c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2914f54416469cf5bba2f4514a641c5e076c376dad7d90f30197a5e608d577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-28T17:26:00Z",
    "title_canon_sha256": "63652e1ddda80eb1d52c02a1ee13bcfaf063ab377627a1344bed3d31c8ba7343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09323",
    "kind": "arxiv",
    "version": 1
  }
}