Pith Number

pith:GNCLRUAT

pith:2017:GNCLRUATINCQ5FWZM3BKRJYLIK

not attested not anchored not stored refs pending

Norm growth for the Busemann cocycle

Thibaut Dumont

arxiv:1704.02274 v1 · 2017-04-07 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNCLRUATINCQ5FWZM3BKRJYLIK}

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	2026-05-18T00:46:50.232042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3344b8d01343450e96d966c2a8a70b4287648ab90e65ede769e3897e42264f61

Aliases

arxiv: 1704.02274 · arxiv_version: 1704.02274v1 · doi: 10.48550/arxiv.1704.02274 · pith_short_12: GNCLRUATINCQ · pith_short_16: GNCLRUATINCQ5FWZ · pith_short_8: GNCLRUAT

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/GNCLRUATINCQ5FWZM3BKRJYLIK \
  | 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: 3344b8d01343450e96d966c2a8a70b4287648ab90e65ede769e3897e42264f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfdedfaac195b3948fe067ca93387388a4e3b0ab38d3efa5654434f8038d1640",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-04-07T16:05:10Z",
    "title_canon_sha256": "864eb8ea452ef709d1d08d2a16b84353610d302424d1aabd2fc336e8475632ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02274",
    "kind": "arxiv",
    "version": 1
  }
}