Pith Number

pith:LMCUGKZA

pith:2026:LMCUGKZAZHNJQ66EAKPYGK4HSU

not attested not anchored not stored refs pending

Possibilistic collapse and extremality of simplicial distributions

Aziz Kharoof, Cihan Okay

arxiv:2607.02754 v1 · 2026-07-02 · math.CT · math.AT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMCUGKZAZHNJQ66EAKPYGK4HSU}

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	2026-07-07T00:16:12.126686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b05432b20c9da987bc4029f832b8795183d217b24c0c312515585eab2981306

Aliases

arxiv: 2607.02754 · arxiv_version: 2607.02754v1 · doi: 10.48550/arxiv.2607.02754 · pith_short_12: LMCUGKZAZHNJ · pith_short_16: LMCUGKZAZHNJQ66E · pith_short_8: LMCUGKZA

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/LMCUGKZAZHNJQ66EAKPYGK4HSU \
  | 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: 5b05432b20c9da987bc4029f832b8795183d217b24c0c312515585eab2981306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2724605ff7e6eeec46ee76d50369a59bef00ed9ef9eb961cce5f8e3f7ac179c",
    "cross_cats_sorted": [
      "math.AT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-02T20:38:54Z",
    "title_canon_sha256": "0a484597b97039846708abc98bb0c80ad5ad44b9a68c8a74018622b2bf2c0682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02754",
    "kind": "arxiv",
    "version": 1
  }
}