Pith Number

pith:3VFGQMHL

pith:2016:3VFGQMHLLX7FXAOSRRLDCVRH65

not attested not anchored not stored refs pending

Mutation of friezes

Eleonore Faber, Gordana Todorov, Karin Baur, Khrystyna Serhiyenko, Sira Gratz

arxiv:1612.05374 v2 · 2016-12-16 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VFGQMHLLX7FXAOSRRLDCVRH65}

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	2026-05-18T00:52:49.174236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4a6830eb5dfe5b81d28c56315627f75c1cd5d3a7eb87e2dc3168531129b4cd

Aliases

arxiv: 1612.05374 · arxiv_version: 1612.05374v2 · doi: 10.48550/arxiv.1612.05374 · pith_short_12: 3VFGQMHLLX7F · pith_short_16: 3VFGQMHLLX7FXAOS · pith_short_8: 3VFGQMHL

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/3VFGQMHLLX7FXAOSRRLDCVRH65 \
  | 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: dd4a6830eb5dfe5b81d28c56315627f75c1cd5d3a7eb87e2dc3168531129b4cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd7fd8d2f8362ce087a5c773431ee05f7b28973d884222512fd80230121e8b5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-16T05:42:01Z",
    "title_canon_sha256": "0e751bfca3af197faebc742a61e2a9e8318e66bedaaa46bb59df77310751e980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05374",
    "kind": "arxiv",
    "version": 2
  }
}