Pith Number

pith:SS3GYS4D

pith:2012:SS3GYS4DWD6AYJBAX4WGVCBEJJ

not attested not anchored not stored refs pending

Univalence in Simplicial Sets

Chris Kapulkin, Peter LeFanu Lumsdaine, Vladimir Voevodsky

arxiv:1203.2553 v4 · 2012-03-12 · 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{SS3GYS4DWD6AYJBAX4WGVCBEJJ}

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	2026-05-18T00:02:14.108915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b66c4b83b0fc0c2420bf2c6a88244a622260baf5817c10b043eac6c4150c3d

Aliases

arxiv: 1203.2553 · arxiv_version: 1203.2553v4 · doi: 10.48550/arxiv.1203.2553 · pith_short_12: SS3GYS4DWD6A · pith_short_16: SS3GYS4DWD6AYJBA · pith_short_8: SS3GYS4D

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/SS3GYS4DWD6AYJBAX4WGVCBEJJ \
  | 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: 94b66c4b83b0fc0c2420bf2c6a88244a622260baf5817c10b043eac6c4150c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663aecf19629f801cb06584bedae75e0ffd0d445a42c661187efd0b4eb94244f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-03-12T17:08:41Z",
    "title_canon_sha256": "b8233610063d7241142931a2cdb96bd5aadb539465508d29271db31bed39325e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2553",
    "kind": "arxiv",
    "version": 4
  }
}