Pith Number

pith:3MKAXWZT

pith:2015:3MKAXWZTVFBQHLBYBSVZHP7JXG

not attested not anchored not stored refs pending

The kappa-word problem over DRH

C\'elia Borlido

arxiv:1512.01023 v1 · 2015-12-03 · 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{3MKAXWZTVFBQHLBYBSVZHP7JXG}

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	2026-05-18T01:25:23.574606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db140bdb33a94303ac380cab93bfe9b9b6194902070a2328e9304a3d34319d01

Aliases

arxiv: 1512.01023 · arxiv_version: 1512.01023v1 · doi: 10.48550/arxiv.1512.01023 · pith_short_12: 3MKAXWZTVFBQ · pith_short_16: 3MKAXWZTVFBQHLBY · pith_short_8: 3MKAXWZT

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/3MKAXWZTVFBQHLBYBSVZHP7JXG \
  | 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: db140bdb33a94303ac380cab93bfe9b9b6194902070a2328e9304a3d34319d01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41cfce4c21bed6d79a24e6b0b627f04a22aaa8df5ff2020aeab2e636584500c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-03T10:13:38Z",
    "title_canon_sha256": "6f819ba88ca364d36d86bb42edcf83d19fe337986bb1a13209635d051c5bc10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01023",
    "kind": "arxiv",
    "version": 1
  }
}