Pith Number

pith:YJYG7DF7

pith:2016:YJYG7DF7FZ5MNX7PFH3BWJKAF4

not attested not anchored not stored refs pending

Rectifiability of non Euclidean planar self-contracted curves

Antoine Lemenant (LJLL)

arxiv:1604.02673 v1 · 2016-03-31 · 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{YJYG7DF7FZ5MNX7PFH3BWJKAF4}

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	2026-05-18T01:17:22.459336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2706f8cbf2e7ac6dfef29f61b25402f25a043bf5262d82d753ce36ef8e01cdc

Aliases

arxiv: 1604.02673 · arxiv_version: 1604.02673v1 · doi: 10.48550/arxiv.1604.02673 · pith_short_12: YJYG7DF7FZ5M · pith_short_16: YJYG7DF7FZ5MNX7P · pith_short_8: YJYG7DF7

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/YJYG7DF7FZ5MNX7PFH3BWJKAF4 \
  | 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: c2706f8cbf2e7ac6dfef29f61b25402f25a043bf5262d82d753ce36ef8e01cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875a0c2d7e63fed9461389a8a878a8254c26560b55aabb6507d95ac3ccd46cef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-31T13:05:49Z",
    "title_canon_sha256": "370d239622e310fd9fda10d40db39bd8ebd50984c91e9db73daafad452505bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02673",
    "kind": "arxiv",
    "version": 1
  }
}