Pith Number

pith:AZEMVFUV

pith:2026:AZEMVFUV23J4RMCY2EJWFM3YEV

not attested not anchored not stored refs pending

Long-range scattering

Avy Soffer, Gavin Stewart, Xiaoxu Wu

arxiv:2606.30283 v1 · 2026-06-29 · 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{AZEMVFUV23J4RMCY2EJWFM3YEV}

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	2026-06-30T02:17:57.387235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0648ca9695d6d3c8b058d11362b378255df1814d9295edbb63a797bd05fcd2b2

Aliases

arxiv: 2606.30283 · arxiv_version: 2606.30283v1 · doi: 10.48550/arxiv.2606.30283 · pith_short_12: AZEMVFUV23J4 · pith_short_16: AZEMVFUV23J4RMCY · pith_short_8: AZEMVFUV

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/AZEMVFUV23J4RMCY2EJWFM3YEV \
  | 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: 0648ca9695d6d3c8b058d11362b378255df1814d9295edbb63a797bd05fcd2b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657e5528f5f3ca9aa3b0d85c2c9cd8978e7702e296e5a7d15dd8c7e28f592614",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-29T13:24:06Z",
    "title_canon_sha256": "cbc872cddac63dfc9cecb715c1050a6d8de5d0ae320c88fde4ae250a22176151"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30283",
    "kind": "arxiv",
    "version": 1
  }
}