Pith Number

pith:BSUR5JZN

pith:2010:BSUR5JZN35QCYXOJXEN2H4WF2M

not attested not anchored not stored refs pending

On the Erd{\H o}s--Ginzburg--Ziv constant of finite abelian groups of high rank

Qinghai Zhong, Weidong Gao, Yushuang Fan

arxiv:1010.5101 v2 · 2010-10-25 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSUR5JZN35QCYXOJXEN2H4WF2M}

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	2026-05-18T04:27:26.527539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ca91ea72ddf602c5dc9b91ba3f2c5d3297fe27683801fc4f97985c540bdd428

Aliases

arxiv: 1010.5101 · arxiv_version: 1010.5101v2 · doi: 10.48550/arxiv.1010.5101 · pith_short_12: BSUR5JZN35QC · pith_short_16: BSUR5JZN35QCYXOJ · pith_short_8: BSUR5JZN

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/BSUR5JZN35QCYXOJXEN2H4WF2M \
  | 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: 0ca91ea72ddf602c5dc9b91ba3f2c5d3297fe27683801fc4f97985c540bdd428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad9e611e3b6974888ffc0f664138c5089ad71335db3d203d979fca7aa17549c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-25T12:38:28Z",
    "title_canon_sha256": "e0ec0afdb46f9ef1768f6eb801c34525901e7553c59f2d5ebd803605a6138f5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5101",
    "kind": "arxiv",
    "version": 2
  }
}