Pith Number

pith:2N5ZAH3G

pith:2014:2N5ZAH3G3OYWEIAAF6EK7A6ZR7

not attested not anchored not stored refs pending

On damped second-order gradient systems

J\'er\^ome Bolte, Mohamed Ali Jendoubi (D\'epartement de Math\'ematiques), Mohamed Jendoubi, Pascal B\'egout (IMT)

arxiv:1411.8005 v5 · 2014-11-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2N5ZAH3G3OYWEIAAF6EK7A6ZR7}

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	2026-05-17T23:48:12.508977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d37b901f66dbb16220002f88af83d98fe61495f8fefc63a16c3f3f56cb7d913d

Aliases

arxiv: 1411.8005 · arxiv_version: 1411.8005v5 · doi: 10.48550/arxiv.1411.8005 · pith_short_12: 2N5ZAH3G3OYW · pith_short_16: 2N5ZAH3G3OYWEIAA · pith_short_8: 2N5ZAH3G

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/2N5ZAH3G3OYWEIAAF6EK7A6ZR7 \
  | 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: d37b901f66dbb16220002f88af83d98fe61495f8fefc63a16c3f3f56cb7d913d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e619f79cb3be02e1a92eaba038b190f36b282a6be60dc5f4b291958a02e9439",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-28T20:57:56Z",
    "title_canon_sha256": "3c0ea55d0a93437acd9ad20e2ad1e1ca6a013a1e5567f75f3e6ea8b760f07035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.8005",
    "kind": "arxiv",
    "version": 5
  }
}