Pith Number

pith:MIKIC42S

pith:2009:MIKIC42SU56JKJ33JP3E7PZB3N

not attested not anchored not stored refs pending

Linear maps preserving orbits

Gerald W. Schwarz

arxiv:0910.1308 v5 · 2009-10-07 · math.RT · 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{MIKIC42SU56JKJ33JP3E7PZB3N}

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	2026-05-18T04:37:20.828998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6214817352a77c95277b4bf64fbf21db44bb7d8aae66164bb5c9e43a3359082b

Aliases

arxiv: 0910.1308 · arxiv_version: 0910.1308v5 · doi: 10.48550/arxiv.0910.1308 · pith_short_12: MIKIC42SU56J · pith_short_16: MIKIC42SU56JKJ33 · pith_short_8: MIKIC42S

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/MIKIC42SU56JKJ33JP3E7PZB3N \
  | 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: 6214817352a77c95277b4bf64fbf21db44bb7d8aae66164bb5c9e43a3359082b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b3ebf57d5a3fb1af93ca3e18ac87b59b9dd5d5dc4a1beb081740cbea241ad59",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-10-07T16:36:06Z",
    "title_canon_sha256": "004d53f92f9b099d77e9651f0c2777781540ea35168b23368ff333be4bcf9a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1308",
    "kind": "arxiv",
    "version": 5
  }
}