Pith Number

pith:CVDZOMZ4

pith:2018:CVDZOMZ43VIDMB65GZINZXUBTC

not attested not anchored not stored refs pending

The marked length spectrum of Anosov manifolds

Colin Guillarmou, Thibault Lefeuvre

arxiv:1806.04218 v2 · 2018-06-11 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVDZOMZ43VIDMB65GZINZXUBTC}

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	2026-05-18T00:02:34.258685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

154797333cdd503607dd3650dcde8198b64af53878cbf5f1d4df069ace23b105

Aliases

arxiv: 1806.04218 · arxiv_version: 1806.04218v2 · doi: 10.48550/arxiv.1806.04218 · pith_short_12: CVDZOMZ43VID · pith_short_16: CVDZOMZ43VIDMB65 · pith_short_8: CVDZOMZ4

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/CVDZOMZ43VIDMB65GZINZXUBTC \
  | 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: 154797333cdd503607dd3650dcde8198b64af53878cbf5f1d4df069ace23b105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c350eaae6bce61f8cd284924c47dbc90c27299b6584749fdbf6e6d3b5b49f920",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-11T19:59:36Z",
    "title_canon_sha256": "549c4881e185e4e4f06246fba3f6403ea6c0b8488ea3871f24f95c1af2fef804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04218",
    "kind": "arxiv",
    "version": 2
  }
}