Pith Number

pith:VLWYOX5D

pith:2025:VLWYOX5DLQVBZO4RKDIJVU5ZGG

not attested not anchored not stored refs pending

The Density Formula Approach for Non-reversible Isomorphism Theorems, with Applications

Qinghua (Devon) Ding, Venkat Anantharam

arxiv:2503.12859 v2 · 2025-03-17 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLWYOX5DLQVBZO4RKDIJVU5ZGG}

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	2026-05-22T01:03:41.853378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaed875fa35c2a1cbb9150d09ad3b93181665035813a838e9062237ee2bf94da

Aliases

arxiv: 2503.12859 · arxiv_version: 2503.12859v2 · doi: 10.48550/arxiv.2503.12859 · pith_short_12: VLWYOX5DLQVB · pith_short_16: VLWYOX5DLQVBZO4R · pith_short_8: VLWYOX5D

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/VLWYOX5DLQVBZO4RKDIJVU5ZGG \
  | 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: aaed875fa35c2a1cbb9150d09ad3b93181665035813a838e9062237ee2bf94da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf944628710cb2eaf30832ac9be9bf6eeb8c12968d8a099bf568e289e6c2a6b",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-03-17T06:41:13Z",
    "title_canon_sha256": "5507d36d0b41626254c17954a45e3bfebe6b8ba90e0b03f2eaaa55ee6638504a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.12859",
    "kind": "arxiv",
    "version": 2
  }
}