Pith Number

pith:U7WJ2YC2

pith:2026:U7WJ2YC2ICR7DTAEIDO6RXZQKQ

not attested not anchored not stored refs pending

Finite Good Witnesses for Generalized Curve Projections at the Rectifiable Endpoint

Caleb Marshall

arxiv:2608.10476 v1 · 2026-08-11 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7WJ2YC2ICR7DTAEIDO6RXZQKQ}

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	2026-08-12T01:22:33.908474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ec9d605a40a3f1cc0440dde8df30543eefd7d62f4d70567e07989d91a9117c

Aliases

arxiv: 2608.10476 · arxiv_version: 2608.10476v1 · doi: 10.48550/arxiv.2608.10476 · pith_short_12: U7WJ2YC2ICR7 · pith_short_16: U7WJ2YC2ICR7DTAE · pith_short_8: U7WJ2YC2

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/U7WJ2YC2ICR7DTAEIDO6RXZQKQ \
  | 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: a7ec9d605a40a3f1cc0440dde8df30543eefd7d62f4d70567e07989d91a9117c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033920a747040907348a517602a11be9bbe864e17e6d51bc4e2fbcb5f135d900",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-11T04:44:52Z",
    "title_canon_sha256": "ba6a44b4847713282161d452aa0f3cfce2b2e8f051f1ae9e962a0638710af940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10476",
    "kind": "arxiv",
    "version": 1
  }
}