Pith Number

pith:6YHJDFHC

pith:2011:6YHJDFHCS2MV2MHSHU5GGUVRSV

not attested not anchored not stored refs pending

A short proof of a theorem of Cobham on substitutions

Andrew Dykstra, Ethan M. Coven, Michelle LeMasurier

arxiv:1108.4665 v1 · 2011-08-23 · 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{6YHJDFHCS2MV2MHSHU5GGUVRSV}

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	2026-05-18T04:14:53.999768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f60e9194e296995d30f23d3a6352b19562eaaa408ab185890d4bd184be3c700d

Aliases

arxiv: 1108.4665 · arxiv_version: 1108.4665v1 · doi: 10.48550/arxiv.1108.4665 · pith_short_12: 6YHJDFHCS2MV · pith_short_16: 6YHJDFHCS2MV2MHS · pith_short_8: 6YHJDFHC

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/6YHJDFHCS2MV2MHSHU5GGUVRSV \
  | 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: f60e9194e296995d30f23d3a6352b19562eaaa408ab185890d4bd184be3c700d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7547451c59ab15c9a12fa5315ebed4986d24994e8e7142ddb90d13d872661aec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-23T18:13:23Z",
    "title_canon_sha256": "703bdf4659c02e5bbef16e3dae02596d3a0bcb73eadf2f5d7a77fb3d975347f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4665",
    "kind": "arxiv",
    "version": 1
  }
}