Pith Number

pith:AVRXVXYW

pith:2026:AVRXVXYW5KHPUYZ4NWGCR22XSK

not attested not anchored not stored refs pending

Boolean degree one functions on the Grassmann scheme

Yuval Filmus

arxiv:2606.23465 v1 · 2026-06-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVRXVXYW5KHPUYZ4NWGCR22XSK}

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	2026-06-23T03:14:20.636596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05637adf16ea8efa633c6d8c28eb5792b16c2edf6155e55b4b275e0e35f0945d

Aliases

arxiv: 2606.23465 · arxiv_version: 2606.23465v1 · doi: 10.48550/arxiv.2606.23465 · pith_short_12: AVRXVXYW5KHP · pith_short_16: AVRXVXYW5KHPUYZ4 · pith_short_8: AVRXVXYW

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/AVRXVXYW5KHPUYZ4NWGCR22XSK \
  | 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: 05637adf16ea8efa633c6d8c28eb5792b16c2edf6155e55b4b275e0e35f0945d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afcbacb9fc288939e9950c0c07444a5ab97a3a5340280328aeadba7f04d67bdb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-22T15:14:31Z",
    "title_canon_sha256": "8a186f7bae2327ca848ed9a59d45951a883ae3427e77f2c97daeec8998a118ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23465",
    "kind": "arxiv",
    "version": 1
  }
}