Pith Number

pith:PIAIFRKR

pith:2010:PIAIFRKRD55ETVKU7QRE7TMZ3O

not attested not anchored not stored refs pending

Inducing $\pi$-partial characters with a given vertex

Mark L. Lewis

arxiv:1008.1633 v1 · 2010-08-10 · 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{PIAIFRKRD55ETVKU7QRE7TMZ3O}

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	2026-05-18T04:42:23.673999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0082c5511f7a49d554fc224fcd99dba0b45d4a11d66523cf5e6aaa68a740f1

Aliases

arxiv: 1008.1633 · arxiv_version: 1008.1633v1 · doi: 10.48550/arxiv.1008.1633 · pith_short_12: PIAIFRKRD55E · pith_short_16: PIAIFRKRD55ETVKU · pith_short_8: PIAIFRKR

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/PIAIFRKRD55ETVKU7QRE7TMZ3O \
  | 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: 7a0082c5511f7a49d554fc224fcd99dba0b45d4a11d66523cf5e6aaa68a740f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca38b578c96fff8765d8204a7fee0ddde84fd1ba6392564c683c38bc1f9625b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-10T05:11:10Z",
    "title_canon_sha256": "bbe88aa02dc2659fffd334e0f877cf022fa06e4828dd76d8d2995d02c23b7936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1633",
    "kind": "arxiv",
    "version": 1
  }
}