Pith Number

pith:5QMU2ZJB

pith:2020:5QMU2ZJBTHQLER7PFGPNCAONX3

not attested not anchored not stored refs pending

Finite DC-groups

Dandan Zhang, Haipeng Qu, Yanfeng Luo

arxiv:2001.06832 v1 · 2020-01-19 · 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{5QMU2ZJBTHQLER7PFGPNCAONX3}

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	2026-07-05T00:34:25.120851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec194d652199e0b247ef299ed101cdbece9cd9c35e328717cea22381f889512c

Aliases

arxiv: 2001.06832 · arxiv_version: 2001.06832v1 · doi: 10.48550/arxiv.2001.06832 · pith_short_12: 5QMU2ZJBTHQL · pith_short_16: 5QMU2ZJBTHQLER7P · pith_short_8: 5QMU2ZJB

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/5QMU2ZJBTHQLER7PFGPNCAONX3 \
  | 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: ec194d652199e0b247ef299ed101cdbece9cd9c35e328717cea22381f889512c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4896f99faa9f4bd010c4e8d2d3536bf4f9edae6bc534f87ca4f89e0820bea498",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-01-19T14:10:06Z",
    "title_canon_sha256": "8716833c6ff508843c4d1f3476b8c0102b6bf42ba5d9e76d517f2646e0fd51ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06832",
    "kind": "arxiv",
    "version": 1
  }
}