Pith Number

pith:DTFKQNYG

pith:2026:DTFKQNYG6MB6CDGWTIY3J5BDQK

not attested not anchored not stored refs pending

Iterative graph lifting for automatic design of path-complete stability certificates

L\'ea Ninite, Rapha\"el M. Jungers

arxiv:2607.00637 v1 · 2026-07-01 · 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{DTFKQNYG6MB6CDGWTIY3J5BDQK}

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	2026-07-02T01:17:49.893891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ccaa83706f303e10cd69a31b4f4238281fd9260df6dd5328dbaad426c68a9ef

Aliases

arxiv: 2607.00637 · arxiv_version: 2607.00637v1 · doi: 10.48550/arxiv.2607.00637 · pith_short_12: DTFKQNYG6MB6 · pith_short_16: DTFKQNYG6MB6CDGW · pith_short_8: DTFKQNYG

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/DTFKQNYG6MB6CDGWTIY3J5BDQK \
  | 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: 1ccaa83706f303e10cd69a31b4f4238281fd9260df6dd5328dbaad426c68a9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "882103c06db600c268fb24c788608a5b04b73e7052c5b19fe825fe0d06dc051b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-01T08:51:04Z",
    "title_canon_sha256": "9e8f475d8f8bdfd509f6e0eba7f7628a119a472e8c37474f645579a0539d1d2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00637",
    "kind": "arxiv",
    "version": 1
  }
}