Pith Number

pith:M2WMDTT4

pith:2011:M2WMDTT4OLJUQ37JLW6XOASTW4

not attested not anchored not stored refs pending

Capacities on a finite lattice

Motoya Machida

arxiv:1105.1395 v1 · 2011-05-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2WMDTT4OLJUQ37JLW6XOASTW4}

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	2026-05-18T04:22:39.518755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66acc1ce7c72d3486fe95dbd770253b73f1a925d0cdd39819e989e25cf4bb1b2

Aliases

arxiv: 1105.1395 · arxiv_version: 1105.1395v1 · doi: 10.48550/arxiv.1105.1395 · pith_short_12: M2WMDTT4OLJU · pith_short_16: M2WMDTT4OLJUQ37J · pith_short_8: M2WMDTT4

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/M2WMDTT4OLJUQ37JLW6XOASTW4 \
  | 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: 66acc1ce7c72d3486fe95dbd770253b73f1a925d0cdd39819e989e25cf4bb1b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d09cf68415cf3d0b560fbc2bdd0ddcc5bc3a800c9fc835e0681925a38591cdef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-06T22:22:26Z",
    "title_canon_sha256": "b60acf7788cebe8da87ba14a051ba5983803961ed92cb62bdfafb959402923f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1395",
    "kind": "arxiv",
    "version": 1
  }
}