Pith Number

pith:42SWGDXG

pith:2017:42SWGDXGI2KMMW3GMUXN3CCYPS

not attested not anchored not stored refs pending

Strictly zero-dimensional biframes and a characterisation of congruence frames

Graham Manuell

arxiv:1710.10894 v1 · 2017-10-30 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42SWGDXGI2KMMW3GMUXN3CCYPS}

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	2026-05-17T23:53:51.989800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a5630ee64694c65b66652edd88587c867e5ed8f809f9999b928368ded60b00

Aliases

arxiv: 1710.10894 · arxiv_version: 1710.10894v1 · doi: 10.48550/arxiv.1710.10894 · pith_short_12: 42SWGDXGI2KM · pith_short_16: 42SWGDXGI2KMMW3G · pith_short_8: 42SWGDXG

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/42SWGDXGI2KMMW3GMUXN3CCYPS \
  | 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: e6a5630ee64694c65b66652edd88587c867e5ed8f809f9999b928368ded60b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a255e6dd531a549674a636a75e2aa0ff4c3e0747afbddc90dcb3d3e87d83f363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-10-30T12:09:29Z",
    "title_canon_sha256": "0d492cbf3db9ae537414facb57dcb260a5c8d752f67204a95f92f2b93f45a730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10894",
    "kind": "arxiv",
    "version": 1
  }
}