Pith Number

pith:EDC6QH3X

pith:2012:EDC6QH3XWSTF33VLVZUNZHAOMW

not attested not anchored not stored refs pending

Reducible Galois representations and the homology of GL(3,Z)

Avner Ash, Darrin Doud

arxiv:1205.3086 v1 · 2012-05-14 · 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{EDC6QH3XWSTF33VLVZUNZHAOMW}

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	2026-05-18T03:55:45.301128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c5e81f77b4a65deeabae68dc9c0e65829c7347225949a1c5db60157b16ffa9

Aliases

arxiv: 1205.3086 · arxiv_version: 1205.3086v1 · doi: 10.48550/arxiv.1205.3086 · pith_short_12: EDC6QH3XWSTF · pith_short_16: EDC6QH3XWSTF33VL · pith_short_8: EDC6QH3X

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/EDC6QH3XWSTF33VLVZUNZHAOMW \
  | 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: 20c5e81f77b4a65deeabae68dc9c0e65829c7347225949a1c5db60157b16ffa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "651de68a51777517ea36cccbcedc1bb219880c0c1f8217d39718bbb93af25303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-14T16:35:05Z",
    "title_canon_sha256": "6235afc6ef9429279046e0b1587cbe4dc79679837bfe96323f701e72f23dd27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3086",
    "kind": "arxiv",
    "version": 1
  }
}