Pith Number

pith:GEQHT4XV

pith:2012:GEQHT4XVHVPKYM6VWIP3NEDQAM

not attested not anchored not stored refs pending

Invariant measures concentrated on countable structures

Cameron Freer, Nathanael Ackerman, Rehana Patel

arxiv:1206.4011 v4 · 2012-06-18 · math.LO · math.CO · 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{GEQHT4XVHVPKYM6VWIP3NEDQAM}

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	2026-05-18T01:11:52.078485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

312079f2f53d5eac33d5b21fb690700328cd880eb36256606a39f96c16c4684f

Aliases

arxiv: 1206.4011 · arxiv_version: 1206.4011v4 · doi: 10.48550/arxiv.1206.4011 · pith_short_12: GEQHT4XVHVPK · pith_short_16: GEQHT4XVHVPKYM6V · pith_short_8: GEQHT4XV

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/GEQHT4XVHVPKYM6VWIP3NEDQAM \
  | 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: 312079f2f53d5eac33d5b21fb690700328cd880eb36256606a39f96c16c4684f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5535c8af7462e5b3c96896f8ddaa4480f088fac2c5a6603d09b34d4a2f718474",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-06-18T18:15:52Z",
    "title_canon_sha256": "362ae3d106f05a57a3e508bd3405d86ebb8249f9db367dd67472208511108b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4011",
    "kind": "arxiv",
    "version": 4
  }
}