Pith Number

pith:KTX4MYQM

pith:2013:KTX4MYQMRC6H2EMPABVJH55YH5

not attested not anchored not stored refs pending

A categorical description of Bass-Serre theory

A. R. Wallis, M. V. Lawson

arxiv:1304.6854 v5 · 2013-04-25 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTX4MYQMRC6H2EMPABVJH55YH5}

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	2026-05-18T02:38:17.220086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54efc6620c88bc7d118f006a93f7b83f633cf1ab9425454431f5395f6f04254e

Aliases

arxiv: 1304.6854 · arxiv_version: 1304.6854v5 · doi: 10.48550/arxiv.1304.6854 · pith_short_12: KTX4MYQMRC6H · pith_short_16: KTX4MYQMRC6H2EMP · pith_short_8: KTX4MYQM

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/KTX4MYQMRC6H2EMPABVJH55YH5 \
  | 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: 54efc6620c88bc7d118f006a93f7b83f633cf1ab9425454431f5395f6f04254e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e0ba25d6aab22e6a2505abc6fddf8a5ae0a3743dc1fc11c3a33cc6bf3719b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-04-25T09:58:11Z",
    "title_canon_sha256": "026c70bca4c89a7298c0dadb5090b95a1879a7dfb62090349dd8523897f32feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6854",
    "kind": "arxiv",
    "version": 5
  }
}