Pith Number

pith:VYFMK556

pith:2026:VYFMK556VEGKZLIONH6DMLDCZR

not attested not anchored not stored refs pending

Interfaces and non-uniqueness in a cross-diffusion system with independent drifts

Charles Elbar, Guy Parker

arxiv:2606.25781 v1 · 2026-06-24 · 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{VYFMK556VEGKZLIONH6DMLDCZR}

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	2026-06-25T01:18:14.993723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0ac577bea90cacad0e69fc362c62cc6a127cf5d7e6164af48c28e657fc7931

Aliases

arxiv: 2606.25781 · arxiv_version: 2606.25781v1 · doi: 10.48550/arxiv.2606.25781 · pith_short_12: VYFMK556VEGK · pith_short_16: VYFMK556VEGKZLIO · pith_short_8: VYFMK556

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/VYFMK556VEGKZLIONH6DMLDCZR \
  | 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: ae0ac577bea90cacad0e69fc362c62cc6a127cf5d7e6164af48c28e657fc7931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b4f445194877b36c3fb6193bbcb8254a430b92f0e6cda2d10dcdb0c0332d72d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-24T13:00:00Z",
    "title_canon_sha256": "060b93ac181a22815e39cd1b81ca87da44279f13ff4f9959ee7918e9a7a90069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25781",
    "kind": "arxiv",
    "version": 1
  }
}