Pith Number

pith:UXEEMDYL

pith:2026:UXEEMDYL5B4ZNDJUS63IAHAXPY

not attested not anchored not stored refs pending

Sub-Randers metrics

Layth M. Alabdulsada

arxiv:2606.21922 v1 · 2026-06-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXEEMDYL5B4ZNDJUS63IAHAXPY}

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	2026-06-23T02:13:02.943601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5c8460f0be879968d3497b6801c177e0f7b7a788099509b7224859591e649d1

Aliases

arxiv: 2606.21922 · arxiv_version: 2606.21922v1 · doi: 10.48550/arxiv.2606.21922 · pith_short_12: UXEEMDYL5B4Z · pith_short_16: UXEEMDYL5B4ZNDJU · pith_short_8: UXEEMDYL

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/UXEEMDYL5B4ZNDJUS63IAHAXPY \
  | 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: a5c8460f0be879968d3497b6801c177e0f7b7a788099509b7224859591e649d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639c9a922fcdb78005dc3c91a47d922936a9e57659e1681d99d9213e9ffce190",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-20T07:38:43Z",
    "title_canon_sha256": "ec700e742b89bfbf3ed4b1421210b8b4ac0e7840f13ff4cb363cae1a22caeb66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21922",
    "kind": "arxiv",
    "version": 1
  }
}