Pith Number

pith:JYMPBKDB

pith:2026:JYMPBKDBJNH4NQ3C2J2VSY5WSE

not attested not anchored not stored refs pending

On the geometry of sharp minima

Alberto Dom\'inguez Corella

arxiv:2605.24766 v1 · 2026-05-23 · 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{JYMPBKDBJNH4NQ3C2J2VSY5WSE}

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	2026-05-26T01:03:57.195583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e18f0a8614b4fc6c362d2755963b691288ae2266e8a53a1d70164af1df1f616

Aliases

arxiv: 2605.24766 · arxiv_version: 2605.24766v1 · doi: 10.48550/arxiv.2605.24766 · pith_short_12: JYMPBKDBJNH4 · pith_short_16: JYMPBKDBJNH4NQ3C · pith_short_8: JYMPBKDB

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/JYMPBKDBJNH4NQ3C2J2VSY5WSE \
  | 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: 4e18f0a8614b4fc6c362d2755963b691288ae2266e8a53a1d70164af1df1f616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a321d589def1572fbf61dabaa0f0d3ea52dc60feb68c2f0b06a1228eaa9dcee3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-23T22:57:53Z",
    "title_canon_sha256": "598caa092ddf796ac2c44c713bba715add8501f636437b40b140444eedc77c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24766",
    "kind": "arxiv",
    "version": 1
  }
}