Pith Number

pith:QCKL432V

pith:2013:QCKL432VEI3GLYBLDYQPCQWXVD

not attested not anchored not stored refs pending

Decision problems, complexity, traces, and representations

D. B. McReynolds, Larsen Louder, Sean Lawton

arxiv:1312.1261 v3 · 2013-12-04 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCKL432VEI3GLYBLDYQPCQWXVD}

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	2026-05-18T00:34:10.758768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8094be6f55223665e02b1e20f142d7a8e618d9fa4e866783c448c61d1e12ff96

Aliases

arxiv: 1312.1261 · arxiv_version: 1312.1261v3 · doi: 10.48550/arxiv.1312.1261 · pith_short_12: QCKL432VEI3G · pith_short_16: QCKL432VEI3GLYBL · pith_short_8: QCKL432V

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/QCKL432VEI3GLYBLDYQPCQWXVD \
  | 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: 8094be6f55223665e02b1e20f142d7a8e618d9fa4e866783c448c61d1e12ff96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7344f3bb66163647af2b8a146fa25bc4ad780b833774ca939baff99bd929676",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-04T17:54:45Z",
    "title_canon_sha256": "0f17f7e778ecb978a0fab0678fc0a8f53dbc2af17e3cd2c10104272b309e4f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1261",
    "kind": "arxiv",
    "version": 3
  }
}