Pith Number

pith:Z4VIMEFM

pith:2026:Z4VIMEFMJTXADFFCWLF7NBGTBE

not attested not anchored not stored refs pending

Applications of Nonlinear Projections to Rectifiable 1-sets

Caleb Marshall, Krystal Taylor, Paige Bright, Rosemarie Bongers

arxiv:2608.10253 v1 · 2026-08-10 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4VIMEFMJTXADFFCWLF7NBGTBE}

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	2026-08-12T00:23:11.377933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2a8610ac4cee0194a2b2cbf684d30939e5e31610fc29012f1e476ce65ef9e6

Aliases

arxiv: 2608.10253 · arxiv_version: 2608.10253v1 · doi: 10.48550/arxiv.2608.10253 · pith_short_12: Z4VIMEFMJTXA · pith_short_16: Z4VIMEFMJTXADFFC · pith_short_8: Z4VIMEFM

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/Z4VIMEFMJTXADFFCWLF7NBGTBE \
  | 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: cf2a8610ac4cee0194a2b2cbf684d30939e5e31610fc29012f1e476ce65ef9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee12115296bd657f3dbf741f86ca9a551e7960dbf81c00ef4b6b88f93e5ac3f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-10T21:37:01Z",
    "title_canon_sha256": "e5da5770633fb32c3cfc4cadc123a69ac8535fdad5fbd85ff23a9b6ec141da56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10253",
    "kind": "arxiv",
    "version": 1
  }
}