Pith Number

pith:GPYOXI54

pith:2026:GPYOXI54FTGMXALENR5Y3BLSXX

not attested not anchored not stored refs pending

On the Uniqueness of Embeddings of Causal Sets

Nathan Madsen

arxiv:2607.05840 v1 · 2026-07-07 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPYOXI54FTGMXALENR5Y3BLSXX}

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	2026-07-08T01:18:47.767924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f0eba3bc2ccccb81646c7b8d8572bdc93ebc3d4e051a54bd0ba8e018f9c11d

Aliases

arxiv: 2607.05840 · arxiv_version: 2607.05840v1 · doi: 10.48550/arxiv.2607.05840 · pith_short_12: GPYOXI54FTGM · pith_short_16: GPYOXI54FTGMXALE · pith_short_8: GPYOXI54

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/GPYOXI54FTGMXALENR5Y3BLSXX \
  | 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: 33f0eba3bc2ccccb81646c7b8d8572bdc93ebc3d4e051a54bd0ba8e018f9c11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2760b75017d8d4f7f2f74d30e2e691afa4dc3562da39f41029b3a62bda734692",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-07T05:03:53Z",
    "title_canon_sha256": "e4b4fc4dd725446e0a8f67c3c1d081373d5c9ed1e286eddfbae73d1d7beaeac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05840",
    "kind": "arxiv",
    "version": 1
  }
}