Pith Number

pith:TLKOOAI5

pith:2013:TLKOOAI5R7234LI3PGR6BJYZJB

not attested not anchored not stored refs pending

Topological spaces associated to higher-rank graphs

Aidan Sims, Alex Kumjian, David Pask, Michael F. Whittaker

arxiv:1310.6100 v2 · 2013-10-23 · math.OA · 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{TLKOOAI5R7234LI3PGR6BJYZJB}

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	2026-05-18T01:12:43.615140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad4e7011d8ff5be2d1b79a3e0a719487385d3b3666923cb38c081093abaf0e6

Aliases

arxiv: 1310.6100 · arxiv_version: 1310.6100v2 · doi: 10.48550/arxiv.1310.6100 · pith_short_12: TLKOOAI5R723 · pith_short_16: TLKOOAI5R7234LI3 · pith_short_8: TLKOOAI5

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/TLKOOAI5R7234LI3PGR6BJYZJB \
  | 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: 9ad4e7011d8ff5be2d1b79a3e0a719487385d3b3666923cb38c081093abaf0e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5567ef26a27b746b7fe7c50c46780cf75de9f28586fd2ea5a3b36a61a9cd1a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-23T03:17:39Z",
    "title_canon_sha256": "201d8b06e090d169fdf023fce49e41957a6d9ecb294f957544dc149732eedbbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6100",
    "kind": "arxiv",
    "version": 2
  }
}