Pith Number

pith:YHKD4J5R

pith:2013:YHKD4J5RJFLNZSGS6B5QEYFQFA

not attested not anchored not stored refs pending

Homotopy coherent adjunctions and the formal theory of monads

Dominic Verity, Emily Riehl

arxiv:1310.8279 v4 · 2013-10-30 · 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{YHKD4J5RJFLNZSGS6B5QEYFQFA}

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	2026-05-18T01:30:26.044141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1d43e27b14956dcc8d2f07b0260b0283694741c3c578aa3252460da23c7c238

Aliases

arxiv: 1310.8279 · arxiv_version: 1310.8279v4 · doi: 10.48550/arxiv.1310.8279 · pith_short_12: YHKD4J5RJFLN · pith_short_16: YHKD4J5RJFLNZSGS · pith_short_8: YHKD4J5R

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/YHKD4J5RJFLNZSGS6B5QEYFQFA \
  | 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: c1d43e27b14956dcc8d2f07b0260b0283694741c3c578aa3252460da23c7c238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a41e42d4348e5ac6b6690bd244e30d8c0b0661cd4b5ee692dc63d38fe8670a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-10-30T19:29:24Z",
    "title_canon_sha256": "a06a685370739ebd46088a85b87f8b843864bfab20af4295f860deb5c5d525d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8279",
    "kind": "arxiv",
    "version": 4
  }
}