Pith Number

pith:DJKGPGJK

pith:2019:DJKGPGJKC2Q6PPAL5VL6Q2GYTS

not attested not anchored not stored refs pending

A correction to Kallenberg's theorem for jointly exchangeable random measures

Christian Borgs, Jennifer T. Chayes, Souvik Dhara, Subhabrata Sen

arxiv:1907.01613 v1 · 2019-07-02 · 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{DJKGPGJKC2Q6PPAL5VL6Q2GYTS}

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	2026-05-17T23:41:35.795202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a5467992a16a1e7bc0bed57e868d89c83937ffc22054251e79933469677f573

Aliases

arxiv: 1907.01613 · arxiv_version: 1907.01613v1 · doi: 10.48550/arxiv.1907.01613 · pith_short_12: DJKGPGJKC2Q6 · pith_short_16: DJKGPGJKC2Q6PPAL · pith_short_8: DJKGPGJK

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/DJKGPGJKC2Q6PPAL5VL6Q2GYTS \
  | 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: 1a5467992a16a1e7bc0bed57e868d89c83937ffc22054251e79933469677f573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb60fe71e703a18cf6b223681172478645410a48a8835b20a0c630042bdebc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-02T20:03:47Z",
    "title_canon_sha256": "f8e61cf2fcfb26b313c538a73b7b8bfc3b2dbe69b1bb3d3c403e888c9b0597bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01613",
    "kind": "arxiv",
    "version": 1
  }
}