Pith Number

pith:NBRVNDO2

pith:2016:NBRVNDO2ZFYTW3HC2CR7KQT74G

not attested not anchored not stored refs pending

Lifting Enhanced Factorization Systems to Functor $ 2 $-Categories

Peter J. Haine

arxiv:1604.06812 v2 · 2016-04-22 · 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{NBRVNDO2ZFYTW3HC2CR7KQT74G}

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	2026-05-18T01:11:37.301750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6863568ddac9713b6ce2d0a3f5427fe18034973af9b9d509bc310b5e1d36f926

Aliases

arxiv: 1604.06812 · arxiv_version: 1604.06812v2 · doi: 10.48550/arxiv.1604.06812 · pith_short_12: NBRVNDO2ZFYT · pith_short_16: NBRVNDO2ZFYTW3HC · pith_short_8: NBRVNDO2

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/NBRVNDO2ZFYTW3HC2CR7KQT74G \
  | 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: 6863568ddac9713b6ce2d0a3f5427fe18034973af9b9d509bc310b5e1d36f926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07afa80f94c9ba29ba34ae5fd7597bb555b6824a0dc4e1691fdab6a3190bfde7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-04-22T20:08:04Z",
    "title_canon_sha256": "295964d75399a5b98d0aac9b69317f6e3bc5ecc3f7edecfaee4a433a5a374ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06812",
    "kind": "arxiv",
    "version": 2
  }
}