Pith Number

pith:HCK4ZSAM

pith:2012:HCK4ZSAMJLMM2PTX3GQIBC2A57

not attested not anchored not stored refs pending

$\lambda$-Scale, a lambda calculus for spaces with dilations

Marius Buliga

arxiv:1205.0139 v3 · 2012-05-01 · cs.LO · math.LO · math.MG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCK4ZSAMJLMM2PTX3GQIBC2A57}

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	2026-05-18T03:55:01.402310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3895ccc80c4ad8cd3e77d9a0808b40eff022db402e25f81a9dc1b4a09f6c6daa

Aliases

arxiv: 1205.0139 · arxiv_version: 1205.0139v3 · doi: 10.48550/arxiv.1205.0139 · pith_short_12: HCK4ZSAMJLMM · pith_short_16: HCK4ZSAMJLMM2PTX · pith_short_8: HCK4ZSAM

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/HCK4ZSAMJLMM2PTX3GQIBC2A57 \
  | 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: 3895ccc80c4ad8cd3e77d9a0808b40eff022db402e25f81a9dc1b4a09f6c6daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d4d8b8aac8ba7226564e22028cad1f94d254870b06826d4cdeac1b45b62b8c",
    "cross_cats_sorted": [
      "math.LO",
      "math.MG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2012-05-01T11:30:27Z",
    "title_canon_sha256": "aefe4f4cea2370488e62ba4a90bd4f602526fa66ffd6b06b6f6ee6927f7070bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0139",
    "kind": "arxiv",
    "version": 3
  }
}