Pith Number

pith:IAO34PET

pith:2016:IAO34PETKV6RO37YOAQJZVQS4P

not attested not anchored not stored refs pending

Dualizable and semi-flat objects in abstract module categories

Rune Harder Bak

arxiv:1607.02609 v3 · 2016-07-09 · 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{IAO34PETKV6RO37YOAQJZVQS4P}

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	2026-05-18T00:16:14.834291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

401dbe3c93557d176ff870209cd612e3cec826027760e33a03b33d8535323a78

Aliases

arxiv: 1607.02609 · arxiv_version: 1607.02609v3 · doi: 10.48550/arxiv.1607.02609 · pith_short_12: IAO34PETKV6R · pith_short_16: IAO34PETKV6RO37Y · pith_short_8: IAO34PET

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/IAO34PETKV6RO37YOAQJZVQS4P \
  | 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: 401dbe3c93557d176ff870209cd612e3cec826027760e33a03b33d8535323a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a7a708ad4e2a8cd529ae0050986f01fdabf1bb5c1fc331e2fb8a0526ebc0d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-07-09T13:15:45Z",
    "title_canon_sha256": "fd6948fa84015a45fce5ccc86b86ec5a325a94fc679d5c28b144e9d46d489a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02609",
    "kind": "arxiv",
    "version": 3
  }
}