Pith Number

pith:H7NV4AWM

pith:2015:H7NV4AWMBL5LMQBVXLEENGLJCO

not attested not anchored not stored refs pending

Fibrations and Yoneda's lemma in an $\infty$-cosmos

Dominic Verity, Emily Riehl

arxiv:1506.05500 v3 · 2015-06-17 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7NV4AWMBL5LMQBVXLEENGLJCO}

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	2026-05-18T01:12:36.273417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fdb5e02cc0afab64035bac84699691399f90540b1f992c544dda49bb4ee1fc8

Aliases

arxiv: 1506.05500 · arxiv_version: 1506.05500v3 · doi: 10.48550/arxiv.1506.05500 · pith_short_12: H7NV4AWMBL5L · pith_short_16: H7NV4AWMBL5LMQBV · pith_short_8: H7NV4AWM

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/H7NV4AWMBL5LMQBVXLEENGLJCO \
  | 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: 3fdb5e02cc0afab64035bac84699691399f90540b1f992c544dda49bb4ee1fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d1dd1f656d9e38b3cc009851f0eb6588cc97f974695fd3129587175778b0737",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-06-17T21:22:08Z",
    "title_canon_sha256": "f0e25b5139079519e1f27dab76bcc14c7ae68847e95fe99c7c03608de867aab3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05500",
    "kind": "arxiv",
    "version": 3
  }
}