Pith Number

pith:RUADPOXQ

pith:2025:RUADPOXQAF2UDUH65MSMDMAL67

not attested not anchored not stored refs pending

Propagation of smallness near codimension two for gradients of harmonic functions

Benjamin Foster, Josep Gallegos

arxiv:2508.21214 v1 · 2025-08-28 · 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{RUADPOXQAF2UDUH65MSMDMAL67}

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	2026-07-05T12:01:30.171935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d0037baf0017541d0feeb24c1b00bf7f896b595e2e9f3ded565fc793513c0a5

Aliases

arxiv: 2508.21214 · arxiv_version: 2508.21214v1 · doi: 10.48550/arxiv.2508.21214 · pith_short_12: RUADPOXQAF2U · pith_short_16: RUADPOXQAF2UDUH6 · pith_short_8: RUADPOXQ

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/RUADPOXQAF2UDUH65MSMDMAL67 \
  | 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: 8d0037baf0017541d0feeb24c1b00bf7f896b595e2e9f3ded565fc793513c0a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdbcd079be5d61b6336d59392f29a00d5fc64067f31a68cefd3faa9163d71c82",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-28T21:09:06Z",
    "title_canon_sha256": "8f73fad54774fb5a25125963495d3a84c9621678b8f15350d21b59c387e55eeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21214",
    "kind": "arxiv",
    "version": 1
  }
}