Pith Number

pith:5EHV5VR2

pith:2021:5EHV5VR2MNVNEFPPQWFC2Y7TTU

not attested not anchored not stored refs pending

Pregeometric Spaces from Wolfram Model Rewriting Systems as Homotopy Types

Jonathan Gorard, Xerxes D. Arsiwalla

arxiv:2111.03460 v2 · 2021-11-04 · math.CT · cs.LO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5EHV5VR2MNVNEFPPQWFC2Y7TTU}

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	2026-07-05T03:33:51.378076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e90f5ed63a636ad215ef858a2d63f39d018534a2a6f4ccc27d3addc2a908c343

Aliases

arxiv: 2111.03460 · arxiv_version: 2111.03460v2 · doi: 10.48550/arxiv.2111.03460 · pith_short_12: 5EHV5VR2MNVN · pith_short_16: 5EHV5VR2MNVNEFPP · pith_short_8: 5EHV5VR2

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/5EHV5VR2MNVNEFPPQWFC2Y7TTU \
  | 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: e90f5ed63a636ad215ef858a2d63f39d018534a2a6f4ccc27d3addc2a908c343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72e04fc78f9127fd50543d5c431aaba19baef23d2bcd1506cf5fcf355d10577",
    "cross_cats_sorted": [
      "cs.LO",
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-11-04T16:24:34Z",
    "title_canon_sha256": "f0306c9bf82bfe876005eab298d398d78031d66e3027e07a2c2d099a4779c4d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.03460",
    "kind": "arxiv",
    "version": 2
  }
}