Pith Number

pith:3IFXUHPM

pith:2026:3IFXUHPMWXX2ZPVSEB6FQGPHNE

not attested not anchored not stored refs pending

Nested nodal loops of biharmonic functions

Alexander Logunov, Javier G\'omez-Serrano, Robert Koirala

arxiv:2605.18699 v1 · 2026-05-18 · 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{3IFXUHPMWXX2ZPVSEB6FQGPHNE}

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	2026-05-20T00:06:15.658576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0b7a1decb5efacbeb2207c5819e769267292aebe9ba89d474be2ee024c10d4

Aliases

arxiv: 2605.18699 · arxiv_version: 2605.18699v1 · doi: 10.48550/arxiv.2605.18699 · pith_short_12: 3IFXUHPMWXX2 · pith_short_16: 3IFXUHPMWXX2ZPVS · pith_short_8: 3IFXUHPM

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/3IFXUHPMWXX2ZPVSEB6FQGPHNE \
  | 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: da0b7a1decb5efacbeb2207c5819e769267292aebe9ba89d474be2ee024c10d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22d6163e09bf4138ce9edaf5befa7d2dbcbccab9ecf0703acde2291778683508",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-18T17:36:21Z",
    "title_canon_sha256": "55c0ff512152e7edf47e84790553a53f38308706cf440f14210eea1b52b2c257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18699",
    "kind": "arxiv",
    "version": 1
  }
}