Pith Number

pith:L2KQ743O

pith:2017:L2KQ743OIOIQ3CEJXP377RW6ZQ

not attested not anchored not stored refs pending

The Multiplicities of Root Number Functions

Stefan-Christoph Virchow

arxiv:1710.10069 v1 · 2017-10-27 · 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{L2KQ743OIOIQ3CEJXP377RW6ZQ}

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	2026-05-18T00:31:54.811844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e950ff36e43910d8889bbf7ffc6decc1e8c4d9fb190b165e834b06973f19ccb

Aliases

arxiv: 1710.10069 · arxiv_version: 1710.10069v1 · doi: 10.48550/arxiv.1710.10069 · pith_short_12: L2KQ743OIOIQ · pith_short_16: L2KQ743OIOIQ3CEJ · pith_short_8: L2KQ743O

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/L2KQ743OIOIQ3CEJXP377RW6ZQ \
  | 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: 5e950ff36e43910d8889bbf7ffc6decc1e8c4d9fb190b165e834b06973f19ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65118099e1c513e4834276cd8b460505145bbf6c5bc3dba3faa5d37cb773847",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-27T10:50:11Z",
    "title_canon_sha256": "6110f4ce3f8008ed2f24c6a105079e287fa6bc65e03e130ffc980d64efb8803f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10069",
    "kind": "arxiv",
    "version": 1
  }
}