Pith Number

pith:AVFOMVHW

pith:2017:AVFOMVHWGNCXQRZKJDTEW7P55W

not attested not anchored not stored refs pending

Even Galois representations and the cohomology of GL(2,Z)

Avner Ash, Darrin Doud

arxiv:1702.07417 v1 · 2017-02-23 · 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{AVFOMVHWGNCXQRZKJDTEW7P55W}

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	2026-05-18T00:50:03.439162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054ae654f6334578472a48e64b7dfded8f59b620f5ee813d67068a17f716d8a9

Aliases

arxiv: 1702.07417 · arxiv_version: 1702.07417v1 · doi: 10.48550/arxiv.1702.07417 · pith_short_12: AVFOMVHWGNCX · pith_short_16: AVFOMVHWGNCXQRZK · pith_short_8: AVFOMVHW

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/AVFOMVHWGNCXQRZKJDTEW7P55W \
  | 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: 054ae654f6334578472a48e64b7dfded8f59b620f5ee813d67068a17f716d8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369e972a17545ef2f869fc469a6b8cdc0fbf09acba0f4d4a172173fb19736774",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-23T23:14:39Z",
    "title_canon_sha256": "1e80053dc2612cd1f0d3bf09e182f14d1edfdb349449337671f3111967c9a124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07417",
    "kind": "arxiv",
    "version": 1
  }
}