Pith Number

pith:BWHPLKQM

pith:2026:BWHPLKQMYE4CYADHSEICKQMY2W

not attested not anchored not stored refs pending

Boundary Completion of Vacuum Persistence Probability

Hai-Qing Zhang, Yu Zhou

arxiv:2607.20936 v1 · 2026-07-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BWHPLKQMYE4CYADHSEICKQMY2W}

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	2026-07-24T01:23:41.632665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d8ef5aa0cc1382c00679110254198d5ac9c7a323d72f89080e2d09b92f5ee18

Aliases

arxiv: 2607.20936 · arxiv_version: 2607.20936v1 · doi: 10.48550/arxiv.2607.20936 · pith_short_12: BWHPLKQMYE4C · pith_short_16: BWHPLKQMYE4CYADH · pith_short_8: BWHPLKQM

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/BWHPLKQMYE4CYADHSEICKQMY2W \
  | 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: 0d8ef5aa0cc1382c00679110254198d5ac9c7a323d72f89080e2d09b92f5ee18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b28d03d5aa529fd1404ca0c09a0111ad448f3c3ec60c98741fa2ba96c2e727",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-23T05:30:47Z",
    "title_canon_sha256": "e104815498fcec7fddf71bee33b5efabe75be84eedf41531fd6f6864978fe031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20936",
    "kind": "arxiv",
    "version": 1
  }
}