Pith Number

pith:YPB6EU46

pith:2013:YPB6EU46HRDUPJSP4D5PTG3M6N

not attested not anchored not stored refs pending

Homotopy coherent centers versus centers of homotopy categories

Markus Szymik

arxiv:1305.3029 v1 · 2013-05-14 · 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{YPB6EU46HRDUPJSP4D5PTG3M6N}

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	2026-05-17T23:48:53.368652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c3e2539e3c4747a64fe0faf99b6cf374f83dd3fb85202561251b76499a402f

Aliases

arxiv: 1305.3029 · arxiv_version: 1305.3029v1 · doi: 10.48550/arxiv.1305.3029 · pith_short_12: YPB6EU46HRDU · pith_short_16: YPB6EU46HRDUPJSP · pith_short_8: YPB6EU46

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/YPB6EU46HRDUPJSP4D5PTG3M6N \
  | 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: c3c3e2539e3c4747a64fe0faf99b6cf374f83dd3fb85202561251b76499a402f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e13e1463a131cd4e8957c1993cd16f3161ed34f0010adeb4eb131a6ed48d93",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-05-14T06:12:45Z",
    "title_canon_sha256": "dcfb6258a2d2a55488d7b9a1d0ff008359aab495d86f9930df3cdf24d512d5bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3029",
    "kind": "arxiv",
    "version": 1
  }
}