Pith Number

pith:YONDEV4R

pith:1995:YONDEV4RUAKYPM5DD52B2ARX4P

not attested not anchored not stored refs pending

Discrete groups, Grothendieck rings and families of finite subgroups

Alejandro Adem

arxiv:math/9503232 v1 · 1995-03-31 · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YONDEV4RUAKYPM5DD52B2ARX4P}

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	2026-05-18T01:05:50.312087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c39a325791a01587b3a31f741d0237e3cc359068ffe8ecc5461d4cb97499255a

Aliases

arxiv: math/9503232 · arxiv_version: math/9503232v1 · doi: 10.48550/arxiv.math/9503232 · pith_short_12: YONDEV4RUAKY · pith_short_16: YONDEV4RUAKYPM5D · pith_short_8: YONDEV4R

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/YONDEV4RUAKYPM5DD52B2ARX4P \
  | 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: c39a325791a01587b3a31f741d0237e3cc359068ffe8ecc5461d4cb97499255a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14240c5a70edf59db84c02fe79cef5e3d39f9b8c64c35e495e150593659f3b60",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1995-03-31T00:00:00Z",
    "title_canon_sha256": "90237ffe49c4111d364713de579ab70f3db67b76723ad43bd2101362f78cd72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9503232",
    "kind": "arxiv",
    "version": 1
  }
}