Pith Number

pith:5H4SKBJG

pith:2013:5H4SKBJGL4EGRWVRTOP6PJT32W

not attested not anchored not stored refs pending

The univalence axiom for elegant Reedy presheaves

Michael Shulman

arxiv:1307.6248 v2 · 2013-07-23 · 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{5H4SKBJGL4EGRWVRTOP6PJT32W}

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	2026-05-18T02:29:15.953217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f92505265f0868dab19b9fe7a67bd5ba8390b2985473f3c020a3e0be81955f

Aliases

arxiv: 1307.6248 · arxiv_version: 1307.6248v2 · doi: 10.48550/arxiv.1307.6248 · pith_short_12: 5H4SKBJGL4EG · pith_short_16: 5H4SKBJGL4EGRWVR · pith_short_8: 5H4SKBJG

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/5H4SKBJGL4EGRWVRTOP6PJT32W \
  | 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: e9f92505265f0868dab19b9fe7a67bd5ba8390b2985473f3c020a3e0be81955f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9618966f53746e8739ed8fef02d2cb537b12086e904a39bf192725d2588cb092",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-07-23T21:20:12Z",
    "title_canon_sha256": "b3c3173bc960da384edc75d91a73b7aa12d33b03a5d5a42fc5ab2f5e81504898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6248",
    "kind": "arxiv",
    "version": 2
  }
}