Pith Number

pith:OTITFEZD

pith:2026:OTITFEZDPQZLPARITQJ2S7L25Z

not attested not anchored not stored refs pending

Monoidal adjunctions and abelian envelopes

Johannes Flake, Robert Laugwitz, Sebastian Posur

arxiv:2601.16092 v2 · 2026-01-22 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTITFEZDPQZLPARITQJ2S7L25Z}

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	2026-06-11T01:09:27.204355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74d13293237c32b782289c13a97d7aee4052983cf57b7a04d0a319a23b3f866b

Aliases

arxiv: 2601.16092 · arxiv_version: 2601.16092v2 · doi: 10.48550/arxiv.2601.16092 · pith_short_12: OTITFEZDPQZL · pith_short_16: OTITFEZDPQZLPARI · pith_short_8: OTITFEZD

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/OTITFEZDPQZLPARITQJ2S7L25Z \
  | 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: 74d13293237c32b782289c13a97d7aee4052983cf57b7a04d0a319a23b3f866b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164afa0e5d30de18686410b900c87d798e2b4782961c63ae17e60126313da4ac",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-01-22T16:42:56Z",
    "title_canon_sha256": "d3c24afe9dc5e5289df1f8b8d1e68711076f0d18d1a7ad4ac67d0e223f01096c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.16092",
    "kind": "arxiv",
    "version": 2
  }
}