Pith Number

pith:4YAA2DGO

pith:2025:4YAA2DGOZNSYD2RCTOEEBNZ4VT

not attested not anchored not stored refs pending

Projective Presentations of Lex Modalities

Mark Damuni Williams

arxiv:2501.19187 v1 · 2025-01-31 · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YAA2DGOZNSYD2RCTOEEBNZ4VT}

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	2026-07-05T10:07:57.402728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6000d0ccecb6581ea229b8840b73cacec3f2688b9c08909a2023879100e7e1b

Aliases

arxiv: 2501.19187 · arxiv_version: 2501.19187v1 · doi: 10.48550/arxiv.2501.19187 · pith_short_12: 4YAA2DGOZNSY · pith_short_16: 4YAA2DGOZNSYD2RC · pith_short_8: 4YAA2DGO

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/4YAA2DGOZNSYD2RCTOEEBNZ4VT \
  | 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: e6000d0ccecb6581ea229b8840b73cacec3f2688b9c08909a2023879100e7e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235d6e8de843be7e52b350f5c9ae7d7b37598736f98c41522be8dddc8c58bc13",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-01-31T14:51:24Z",
    "title_canon_sha256": "ef1565cf9e619eb3ec3205fc57ad8f28f8e43a72e5170513139b1a90884935e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.19187",
    "kind": "arxiv",
    "version": 1
  }
}