Pith Number

pith:F4QWLL7B

pith:2026:F4QWLL7BKUVL6B4VXT4A2LZURU

not attested not anchored not stored refs pending

A Graphical Coaction for FRW Integrals from Partial/Relative Twisted (Co)homology

Andrew J. McLeod, Andrzej Pokraka, Lecheng Ren

arxiv:2606.13627 v1 · 2026-06-11 · hep-th · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4QWLL7BKUVL6B4VXT4A2LZURU}

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	2026-06-12T01:10:15.752245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2165afe1552abf0795bcf80d2f348d243d233a1bb2f8baf7eb4d17753680b3

Aliases

arxiv: 2606.13627 · arxiv_version: 2606.13627v1 · doi: 10.48550/arxiv.2606.13627 · pith_short_12: F4QWLL7BKUVL · pith_short_16: F4QWLL7BKUVL6B4V · pith_short_8: F4QWLL7B

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/F4QWLL7BKUVL6B4VXT4A2LZURU \
  | 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: 2f2165afe1552abf0795bcf80d2f348d243d233a1bb2f8baf7eb4d17753680b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c7443e49ff4a4f922b5fe1641b598ddc6099a30a0ecf0b11278b141d8c6baa",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-11T17:40:20Z",
    "title_canon_sha256": "4e7868a87fa04d4c9a0c443bfbf17130dec1ee6736f091e9de163111a770ac02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13627",
    "kind": "arxiv",
    "version": 1
  }
}