Pith Number

pith:2BOFIG3L

pith:2026:2BOFIG3L3D2ZRRHYHSU3IFOGHL

not attested not anchored not stored refs pending

Cohomological beta function

Andrey Losev, Maxim Gritskov, Oleksandr Gamayun

arxiv:2606.28975 v1 · 2026-06-27 · 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{2BOFIG3L3D2ZRRHYHSU3IFOGHL}

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	2026-06-30T01:17:47.840066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d05c541b6bd8f598c4f83ca9b415c63adb18b965d886c822026aa3d417a83ae5

Aliases

arxiv: 2606.28975 · arxiv_version: 2606.28975v1 · doi: 10.48550/arxiv.2606.28975 · pith_short_12: 2BOFIG3L3D2Z · pith_short_16: 2BOFIG3L3D2ZRRHY · pith_short_8: 2BOFIG3L

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/2BOFIG3L3D2ZRRHYHSU3IFOGHL \
  | 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: d05c541b6bd8f598c4f83ca9b415c63adb18b965d886c822026aa3d417a83ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e1921e6e65398242160d305ffb712dc1f7a869b2dc6e5642afa9afc9b43c7a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-27T15:27:33Z",
    "title_canon_sha256": "c6d2ae2916df3bedac98d5d7734717197c3b5368a0b4fbba90002d0ba00b6d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28975",
    "kind": "arxiv",
    "version": 1
  }
}