Pith Number

pith:DUNT6FX6

pith:2012:DUNT6FX6A4GDR6AGSAYT473ZQO

not attested not anchored not stored refs pending

Examples of substitution systems and their factors

Franz G\"ahler, Michael Baake, Uwe Grimm

arxiv:1211.5466 v2 · 2012-11-23 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUNT6FX6A4GDR6AGSAYT473ZQO}

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	2026-05-18T02:41:42.754111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1b3f16fe070c38f80690313e7f7983a23d27b349b32905e519c8a1ebf3bd89

Aliases

arxiv: 1211.5466 · arxiv_version: 1211.5466v2 · doi: 10.48550/arxiv.1211.5466 · pith_short_12: DUNT6FX6A4GD · pith_short_16: DUNT6FX6A4GDR6AG · pith_short_8: DUNT6FX6

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/DUNT6FX6A4GDR6AGSAYT473ZQO \
  | 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: 1d1b3f16fe070c38f80690313e7f7983a23d27b349b32905e519c8a1ebf3bd89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7b0a9435e13dad393ae8d19bdf4f073cb0a7f8c322b12097de8708796b64131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-23T10:58:25Z",
    "title_canon_sha256": "8a380e7dbd793f5730e35ec0bc8645ba7d9f7c3fd218b584828140994dc6ad10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5466",
    "kind": "arxiv",
    "version": 2
  }
}