Pith Number

pith:PGIDF26U

pith:2026:PGIDF26UWHJOMYSAJZAPKEUSKX

not attested not anchored not stored refs pending

Revisiting the Volume Hypothesis

Ari Pakman, Lior Kreimer, Yakir Berchenko

arxiv:2606.31282 v1 · 2026-06-30 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGIDF26UWHJOMYSAJZAPKEUSKX}

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	2026-07-01T01:17:58.008991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799032ebd4b1d2e662404e40f5129255f5ee84ae7c64c7227b016bb275577944

Aliases

arxiv: 2606.31282 · arxiv_version: 2606.31282v1 · doi: 10.48550/arxiv.2606.31282 · pith_short_12: PGIDF26UWHJO · pith_short_16: PGIDF26UWHJOMYSA · pith_short_8: PGIDF26U

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/PGIDF26UWHJOMYSAJZAPKEUSKX \
  | 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: 799032ebd4b1d2e662404e40f5129255f5ee84ae7c64c7227b016bb275577944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "733446fb880bb3ac8fbd106cdc09e610c0f397e12b3b27af2d82ebc984683591",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-30T07:58:19Z",
    "title_canon_sha256": "0d5629b2558f6865c560f1b76be22e8fc213144e52efc41f4bfd7e145d99cbfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31282",
    "kind": "arxiv",
    "version": 1
  }
}