Pith Number

pith:UBAFC2P2

pith:2013:UBAFC2P2TCMWPLAONPQAHGAUVA

not attested not anchored not stored refs pending

Period and index, symbol lengths, and generic splittings in Galois cohomology

Daniel Krashen

arxiv:1305.5217 v2 · 2013-05-22 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBAFC2P2TCMWPLAONPQAHGAUVA}

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	2026-05-18T00:44:29.799063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0405169fa989967ac0e6be0039814a814afa52493ed268aea9f533d85897300

Aliases

arxiv: 1305.5217 · arxiv_version: 1305.5217v2 · doi: 10.48550/arxiv.1305.5217 · pith_short_12: UBAFC2P2TCMW · pith_short_16: UBAFC2P2TCMWPLAO · pith_short_8: UBAFC2P2

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/UBAFC2P2TCMWPLAONPQAHGAUVA \
  | 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: a0405169fa989967ac0e6be0039814a814afa52493ed268aea9f533d85897300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126ed2c65c3f9c6e52886ccc1cf7d5ce2b3d6bde9156b2e116be15e8a443ea8f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-05-22T18:07:45Z",
    "title_canon_sha256": "c5fbf505e3780c85bf6a20bc43e49de650880669ca7d63d4243b90684eab30bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5217",
    "kind": "arxiv",
    "version": 2
  }
}