Pith Number

pith:CDL4BRVK

pith:2015:CDL4BRVKNOAHEP4TTTTBTMNPPG

not attested not anchored not stored refs pending

Univalence for inverse EI diagrams

Michael Shulman

arxiv:1508.02410 v3 · 2015-08-10 · 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{CDL4BRVKNOAHEP4TTTTBTMNPPG}

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	2026-05-18T00:47:43.305850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d7c0c6aa6b80723f939ce619b1af798ad6de8282d34b596825098f82b05b88

Aliases

arxiv: 1508.02410 · arxiv_version: 1508.02410v3 · doi: 10.48550/arxiv.1508.02410 · pith_short_12: CDL4BRVKNOAH · pith_short_16: CDL4BRVKNOAHEP4T · pith_short_8: CDL4BRVK

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/CDL4BRVKNOAHEP4TTTTBTMNPPG \
  | 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: 10d7c0c6aa6b80723f939ce619b1af798ad6de8282d34b596825098f82b05b88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ffd25462bf0b6c6beb487f1e205ea5124c2624f1710d251d727a0416907699",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-10T20:12:21Z",
    "title_canon_sha256": "52abf1f960b754c75791901e80ee742e0fb2d22becdd5e84f71a37eebe192077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02410",
    "kind": "arxiv",
    "version": 3
  }
}