Pith Number

pith:G47VDXCS

pith:2014:G47VDXCSOYNPJEOPV6O6VZ3T4Y

not attested not anchored not stored refs pending

Twisted limit formula for torsion and cyclic base change

Michael Lipnowski, Nicolas Bergeron

arxiv:1409.6749 v2 · 2014-09-23 · math.NT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G47VDXCSOYNPJEOPV6O6VZ3T4Y}

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	2026-05-18T01:19:22.302967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

373f51dc52761af491cfaf9deae773e616a7a8f0e95cc3cc9407f7ccbf9d87b4

Aliases

arxiv: 1409.6749 · arxiv_version: 1409.6749v2 · doi: 10.48550/arxiv.1409.6749 · pith_short_12: G47VDXCSOYNP · pith_short_16: G47VDXCSOYNPJEOP · pith_short_8: G47VDXCS

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/G47VDXCSOYNPJEOPV6O6VZ3T4Y \
  | 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: 373f51dc52761af491cfaf9deae773e616a7a8f0e95cc3cc9407f7ccbf9d87b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7297a3d6e028986668dbcb37588e1b50f19c9b67d820cf5b0da691a54c6686b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-23T20:32:54Z",
    "title_canon_sha256": "53b14be668097d490836eab41605741e0b9935f5ba57226eaedd09c4804ccc74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6749",
    "kind": "arxiv",
    "version": 2
  }
}