Pith Number

pith:J7C74JDS

pith:2025:J7C74JDSREY426F2VMIPL6BEHH

not attested not anchored not stored refs pending

Obstructions to Reality: Torsors & Visual Paradox

Robert Ghrist, Zoe Cooperband

arxiv:2507.01226 v1 · 2025-07-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7C74JDSREY426F2VMIPL6BEHH}

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.

Cited by

1 paper in Pith

The Non-Orientable Topology of Condorcet's Paradox

Receipt and verification

First computed	2026-07-05T11:30:27.025369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fc5fe24728931cd78baab10f5f82439ef96f38def3428ced1a9fdf55a71d882

Aliases

arxiv: 2507.01226 · arxiv_version: 2507.01226v1 · doi: 10.48550/arxiv.2507.01226 · pith_short_12: J7C74JDSREY4 · pith_short_16: J7C74JDSREY426F2 · pith_short_8: J7C74JDS

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/J7C74JDSREY426F2VMIPL6BEHH \
  | 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: 4fc5fe24728931cd78baab10f5f82439ef96f38def3428ced1a9fdf55a71d882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e60817f67e9a9dc1c270abd59eafc60a95ebcae19302d817b6c678e8c4a5703",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-01T22:58:45Z",
    "title_canon_sha256": "ef3c86d02de9bbe14b9281cd210743994d01715dc3c5714002bc4e0571b1f554"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01226",
    "kind": "arxiv",
    "version": 1
  }
}