Pith Number

pith:EHAOXF6T

pith:2020:EHAOXF6T3LG7LTH7LO3FJ4DQ7Q

not attested not anchored not stored refs pending

Milliken's tree theorem and its applications: a computability-theoretic perspective

Beno\^it Monin, Damir D. Dzhafarov, Ludovic Patey, Paul-Elliot Angl\`es d'Auriac, Peter A. Cholak

arxiv:2007.09739 v2 · 2020-07-19 · math.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{EHAOXF6T3LG7LTH7LO3FJ4DQ7Q}

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	2026-07-05T02:32:32.958012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c0eb97d3dacdf5ccff5bb654f070fc2a2e3d8bec1fc0db3255764a7b64df2b

Aliases

arxiv: 2007.09739 · arxiv_version: 2007.09739v2 · doi: 10.48550/arxiv.2007.09739 · pith_short_12: EHAOXF6T3LG7 · pith_short_16: EHAOXF6T3LG7LTH7 · pith_short_8: EHAOXF6T

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/EHAOXF6T3LG7LTH7LO3FJ4DQ7Q \
  | 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: 21c0eb97d3dacdf5ccff5bb654f070fc2a2e3d8bec1fc0db3255764a7b64df2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83b0e407cb2a000f8ae4e757010ff402202de4ee2211aa6b0e715243fd22bc8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2020-07-19T18:27:42Z",
    "title_canon_sha256": "17caaf0cdbc6b6d56bfc6719c15b83172fa45e384fb32d90396d54fe0ed49644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09739",
    "kind": "arxiv",
    "version": 2
  }
}