Pith Number

pith:H7U3H2AA

pith:2021:H7U3H2AAAGNUBLMCM2MF7KNWEP

not attested not anchored not stored refs pending

A Topos View of Blockchain Consensus Protocols

Michael Lambert

arxiv:2111.07461 v1 · 2021-11-14 · 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{H7U3H2AAAGNUBLMCM2MF7KNWEP}

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	2026-07-05T03:31:40.139754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe9b3e800019b40ad8266985fa9b623fd9b197a13b81cfda021a457665c0ef6

Aliases

arxiv: 2111.07461 · arxiv_version: 2111.07461v1 · doi: 10.48550/arxiv.2111.07461 · pith_short_12: H7U3H2AAAGNU · pith_short_16: H7U3H2AAAGNUBLMC · pith_short_8: H7U3H2AA

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/H7U3H2AAAGNUBLMCM2MF7KNWEP \
  | 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: 3fe9b3e800019b40ad8266985fa9b623fd9b197a13b81cfda021a457665c0ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5732de5d12fe754d9bb9894179b8f65c005b8c4f99cde0c9f496f46a99dab6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-11-14T22:20:49Z",
    "title_canon_sha256": "d5f1cbd7856cfdb4bd564405154e0178d4cc58658b51727a767342176e327ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07461",
    "kind": "arxiv",
    "version": 1
  }
}