Pith Number

pith:Y756EYRT

pith:2025:Y756EYRTLYKD72MVPKTZSQW4RR

not attested not anchored not stored refs pending

Transgressing the algebraic coarse character map

Alexander Engel, Matthias Ludewig

arxiv:2507.10816 v2 · 2025-07-14 · math.KT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y756EYRTLYKD72MVPKTZSQW4RR}

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	2026-06-02T02:04:47.468563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7fbe262335e143fe9957aa79942dc8c718877eebcda44b51ab2fbc5ed3a4f64

Aliases

arxiv: 2507.10816 · arxiv_version: 2507.10816v2 · doi: 10.48550/arxiv.2507.10816 · pith_short_12: Y756EYRTLYKD · pith_short_16: Y756EYRTLYKD72MV · pith_short_8: Y756EYRT

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/Y756EYRTLYKD72MVPKTZSQW4RR \
  | 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: c7fbe262335e143fe9957aa79942dc8c718877eebcda44b51ab2fbc5ed3a4f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a005c791eb50dcbdf0b2d5265366a4f198a4d91a7fa0e85125dd3c44a0fb27",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-07-14T21:30:29Z",
    "title_canon_sha256": "b3efe4273595d408b26271bca2c81e56b20eaa5043851195f764b23e00cd2ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10816",
    "kind": "arxiv",
    "version": 2
  }
}