Pith Number

pith:BG7NKNPN

pith:2008:BG7NKNPNSF7NOUI3BLTRPOKEIG

not attested not anchored not stored refs pending

Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions

Aris Daniilidis (LMPT), Olivier Ley (LMPT), St\'ephane Sabourau (LMPT)

arxiv:0809.0150 v1 · 2008-08-31 · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BG7NKNPNSF7NOUI3BLTRPOKEIG}

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	2026-05-18T04:41:05.333324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09bed535ed917ed7511b0ae717b94441a93b0935f54efbb711edb32778c6a977

Aliases

arxiv: 0809.0150 · arxiv_version: 0809.0150v1 · doi: 10.48550/arxiv.0809.0150 · pith_short_12: BG7NKNPNSF7N · pith_short_16: BG7NKNPNSF7NOUI3 · pith_short_8: BG7NKNPN

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/BG7NKNPNSF7NOUI3BLTRPOKEIG \
  | 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: 09bed535ed917ed7511b0ae717b94441a93b0935f54efbb711edb32778c6a977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c50acc3a1e73a3783d5aec70ecf2f7796327a6c9d92a44feb627fffd1e7733",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-08-31T20:24:37Z",
    "title_canon_sha256": "84e395301c15944554e7b6096e692a41c1112a41f01bbd5d968be964b54d21fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.0150",
    "kind": "arxiv",
    "version": 1
  }
}