Pith Number

pith:KSCVN3HN

pith:2010:KSCVN3HNKQXY6YQWPJIP7WY77L

not attested not anchored not stored refs pending

Exponential growth of torsion in Abelian coverings

Jean Raimbault

arxiv:1012.3666 v2 · 2010-12-16 · 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{KSCVN3HNKQXY6YQWPJIP7WY77L}

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	2026-05-18T02:41:50.630182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548556eced542f8f62167a50ffdb1ffade32892de5b061a4a490a9e3ca3c879d

Aliases

arxiv: 1012.3666 · arxiv_version: 1012.3666v2 · doi: 10.48550/arxiv.1012.3666 · pith_short_12: KSCVN3HNKQXY · pith_short_16: KSCVN3HNKQXY6YQW · pith_short_8: KSCVN3HN

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/KSCVN3HNKQXY6YQWPJIP7WY77L \
  | 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: 548556eced542f8f62167a50ffdb1ffade32892de5b061a4a490a9e3ca3c879d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916fe2fa880c0484f16c738eef99c0dcd0c25d462cb00ac3e9a5ec67b58f9281",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-16T16:43:05Z",
    "title_canon_sha256": "5de87060e1bb4eafd62691a8b407c8609489f33ead681842355c19e7f4025093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3666",
    "kind": "arxiv",
    "version": 2
  }
}