Pith Number

pith:PGOFRQXM

pith:2026:PGOFRQXMG72RNGVBULXWEPVL6K

not attested not anchored not stored refs pending

Conditional Probability Spaces and the Structure of Agreement

Adam Brandenburger, Erya Yang

arxiv:2605.30017 v1 · 2026-05-28 · 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{PGOFRQXMG72RNGVBULXWEPVL6K}

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	2026-05-29T02:06:07.133492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799c58c2ec37f5169aa1a2ef623eabf2a878515c97e4b76d113f6729df3185fa

Aliases

arxiv: 2605.30017 · arxiv_version: 2605.30017v1 · doi: 10.48550/arxiv.2605.30017 · pith_short_12: PGOFRQXMG72R · pith_short_16: PGOFRQXMG72RNGVB · pith_short_8: PGOFRQXM

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/PGOFRQXMG72RNGVBULXWEPVL6K \
  | 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: 799c58c2ec37f5169aa1a2ef623eabf2a878515c97e4b76d113f6729df3185fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab87f95e81de4c53ef200cc43bb3e14f05bf88d8b32b40805077dbe71ab5a462",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-28T14:41:16Z",
    "title_canon_sha256": "8e75b4b5fcbfbbba7085f93e26e2cc873e65db968ab0175db2f4da3f37ba732f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30017",
    "kind": "arxiv",
    "version": 1
  }
}