Pith Number

pith:UFUI2T27

pith:2026:UFUI2T27LGVJGFT2SBIGRQ3EQS

not attested not anchored not stored refs pending

Weighted Helmholtz--Hodge decompositions, Lyapunov functions, and invariant measures

Gerald Trutnau, Haesung Lee

arxiv:2605.25715 v1 · 2026-05-25 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFUI2T27LGVJGFT2SBIGRQ3EQS}

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	2026-05-26T02:04:51.830095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1688d4f5f59aa93167a905068c36484a1697eb6d8114c41554546c40acc2018

Aliases

arxiv: 2605.25715 · arxiv_version: 2605.25715v1 · doi: 10.48550/arxiv.2605.25715 · pith_short_12: UFUI2T27LGVJ · pith_short_16: UFUI2T27LGVJGFT2 · pith_short_8: UFUI2T27

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/UFUI2T27LGVJGFT2SBIGRQ3EQS \
  | 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: a1688d4f5f59aa93167a905068c36484a1697eb6d8114c41554546c40acc2018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b46fcd5ba9815d5e206d2a35f83fc2e77087f61a469ba6bba796f5aa081d6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-25T11:16:37Z",
    "title_canon_sha256": "c513b4b9e38d0c2fec46ca8a562905af555ddbab9be977425f96de73dec01abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25715",
    "kind": "arxiv",
    "version": 1
  }
}