Pith Number

pith:G5DV3CJN

pith:2015:G5DV3CJNFKZNJW5PF5EORDZTHW

not attested not anchored not stored refs pending

Bimodules and natural transformations for enriched $\infty$-categories

Rune Haugseng

arxiv:1506.07341 v2 · 2015-06-24 · math.AT · 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{G5DV3CJNFKZNJW5PF5EORDZTHW}

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.

Cited by

1 paper in Pith

Iterated traces in 2-categories and Lefschetz theorems

Receipt and verification

First computed	2026-07-05T01:48:03.805509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37475d892d2ab2d4dbaf2f48e88f333da4f6fbc963614324e489bdfaf9864a1f

Aliases

arxiv: 1506.07341 · arxiv_version: 1506.07341v2 · doi: 10.48550/arxiv.1506.07341 · pith_short_12: G5DV3CJNFKZN · pith_short_16: G5DV3CJNFKZNJW5P · pith_short_8: G5DV3CJN

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/G5DV3CJNFKZNJW5PF5EORDZTHW \
  | 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: 37475d892d2ab2d4dbaf2f48e88f333da4f6fbc963614324e489bdfaf9864a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4337e581f0086466b655e596df0cede4dfa160b3206487d5ec5c9b1dfa4b9eaf",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-06-24T12:31:23Z",
    "title_canon_sha256": "326a41af46b932948f2f617416e7379ded50f4562ffa9ffd717ed38b962a930c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07341",
    "kind": "arxiv",
    "version": 2
  }
}