Pith Number

pith:JEAHRCPO

pith:2008:JEAHRCPOSNG673CXMCKSR5HVUK

not attested not anchored not stored refs pending

Structure computation and discrete logarithms in finite abelian p-groups

Andrew V. Sutherland

arxiv:0809.3413 v3 · 2008-09-19 · math.NT · 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{JEAHRCPOSNG673CXMCKSR5HVUK}

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	2026-05-18T03:34:46.760057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49007889ee934defec57609528f4f5a291b73b4a43c837d8015d194760bb788c

Aliases

arxiv: 0809.3413 · arxiv_version: 0809.3413v3 · doi: 10.48550/arxiv.0809.3413 · pith_short_12: JEAHRCPOSNG6 · pith_short_16: JEAHRCPOSNG673CX · pith_short_8: JEAHRCPO

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/JEAHRCPOSNG673CXMCKSR5HVUK \
  | 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: 49007889ee934defec57609528f4f5a291b73b4a43c837d8015d194760bb788c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3224123d87951f113dc3045f514715a0711148c8d625970adf97a33fd6bff363",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-09-19T16:48:01Z",
    "title_canon_sha256": "8041e648c8b352303271f40c99b7b9ce04688b1336a0f42dc00448df91dd8d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3413",
    "kind": "arxiv",
    "version": 3
  }
}