Pith Number

pith:JKY3MHDD

pith:2025:JKY3MHDD3RNREZY4FYZKSBPYST

not attested not anchored not stored refs pending

On fundamental properties of high-order forward-backward envelope

Alireza Kabgani, Masoud Ahookhosh

arxiv:2511.10421 v2 · 2025-11-13 · 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{JKY3MHDD3RNREZY4FYZKSBPYST}

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	2026-06-24T00:14:21.732927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab1b61c63dc5b12671c2e32a905f894da9b0f4d7190a9c8a07e7a3548ceebdb

Aliases

arxiv: 2511.10421 · arxiv_version: 2511.10421v2 · doi: 10.48550/arxiv.2511.10421 · pith_short_12: JKY3MHDD3RNR · pith_short_16: JKY3MHDD3RNREZY4 · pith_short_8: JKY3MHDD

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/JKY3MHDD3RNREZY4FYZKSBPYST \
  | 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: 4ab1b61c63dc5b12671c2e32a905f894da9b0f4d7190a9c8a07e7a3548ceebdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d028177b39da4b48738828bdfeb00f3006adb26788e5213c15bf84065a3c72f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-13T15:42:55Z",
    "title_canon_sha256": "7d967e40f2ebf6f98f78b83dcc6cbccd250c9b4a0bc094112895db4e619630c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10421",
    "kind": "arxiv",
    "version": 2
  }
}