Pith Number

pith:B2GVY543

pith:2016:B2GVY543UUDYB2HKNQ3CJLIOZM

not attested not anchored not stored refs pending

The Independence of Markov's Principle in Type Theory

Bassel Mannaa, Thierry Coquand

arxiv:1602.04530 v6 · 2016-02-15 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2GVY543UUDYB2HKNQ3CJLIOZM}

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	2026-07-05T06:23:16.571547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8d5c779ba50780e8ea6c3624ad0ecb024031ba135b88d0073b4d93d9177593

Aliases

arxiv: 1602.04530 · arxiv_version: 1602.04530v6 · doi: 10.48550/arxiv.1602.04530 · pith_short_12: B2GVY543UUDY · pith_short_16: B2GVY543UUDYB2HK · pith_short_8: B2GVY543

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/B2GVY543UUDYB2HKNQ3CJLIOZM \
  | 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: 0e8d5c779ba50780e8ea6c3624ad0ecb024031ba135b88d0073b4d93d9177593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "669fec3e4958bece5e7c1e59afc7dfcb7adf31b25d53d6c399bcaa597a443947",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-02-15T00:11:27Z",
    "title_canon_sha256": "848fa3c3f218c69b22fb5025de927868f67b1fcb8aa7731e645828e28ea21f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04530",
    "kind": "arxiv",
    "version": 6
  }
}