Pith Number

pith:QEJ7HGD6

pith:2014:QEJ7HGD6LBRNITIHCCKWVI6K64

not attested not anchored not stored refs pending

General affine adjunctions, Nullstellens\"atze, and dualities

Luca Spada, Olivia Caramello, Vincenzo Marra

arxiv:1412.8692 v2 · 2014-12-30 · math.CT · math.GN · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEJ7HGD6LBRNITIHCCKWVI6K64}

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	2026-05-18T00:21:29.398918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8113f3987e5862d44d0710956aa3caf72f5ce0d37c4b9191f242e6d75ef2b5fa

Aliases

arxiv: 1412.8692 · arxiv_version: 1412.8692v2 · doi: 10.48550/arxiv.1412.8692 · pith_short_12: QEJ7HGD6LBRN · pith_short_16: QEJ7HGD6LBRNITIH · pith_short_8: QEJ7HGD6

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/QEJ7HGD6LBRNITIHCCKWVI6K64 \
  | 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: 8113f3987e5862d44d0710956aa3caf72f5ce0d37c4b9191f242e6d75ef2b5fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01ad4dd3f224ea498a739a8016bb466fe743a2f67d5849ed80341fb5b9475a14",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-12-30T17:15:13Z",
    "title_canon_sha256": "5fea2cb28035dbfd32c667b0791a2cf9c2b06df4f48bfd730880174c5384babb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8692",
    "kind": "arxiv",
    "version": 2
  }
}