Pith Number

pith:SG3FTFRI

pith:2014:SG3FTFRIFGV63D35WFNJ6SNO5B

not attested not anchored not stored refs pending

Torsion homology growth and cycle complexity of arithmetic manifolds

Akshay Venkatesh, Mehmet Haluk Sengun, Nicolas Bergeron

arxiv:1401.6989 v1 · 2014-01-27 · 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{SG3FTFRIFGV63D35WFNJ6SNO5B}

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	2026-05-18T01:08:44.948121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b659962829abed8f7db15a9f49aee8624cda4a82f14b7960a66e5cf1fef435

Aliases

arxiv: 1401.6989 · arxiv_version: 1401.6989v1 · doi: 10.48550/arxiv.1401.6989 · pith_short_12: SG3FTFRIFGV6 · pith_short_16: SG3FTFRIFGV63D35 · pith_short_8: SG3FTFRI

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/SG3FTFRIFGV63D35WFNJ6SNO5B \
  | 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: 91b659962829abed8f7db15a9f49aee8624cda4a82f14b7960a66e5cf1fef435

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b1310fc8886d7b7f5fd58168a77775d6ca9dc7066ff753808461e3ce3a3564e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-27T20:18:48Z",
    "title_canon_sha256": "9dc3fa4d41d1d005caf8b640c33378680caf867beeb3067f813e2247f8ae5652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6989",
    "kind": "arxiv",
    "version": 1
  }
}