Pith Number

pith:TTXKBDMZ

pith:2011:TTXKBDMZFEVCKSLMELVSKKHW7V

not attested not anchored not stored refs pending

The rational classification of links of codimension >2

Diarmuid Crowley, Mikhail Skopenkov, Steven C. Ferry

arxiv:1106.1455 v1 · 2011-06-07 · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTXKBDMZFEVCKSLMELVSKKHW7V}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:01:11.596227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ceea08d99292a25496c22eb2528f6fd527645f10267e50dbd632d395644aed6

Aliases

arxiv: 1106.1455 · arxiv_version: 1106.1455v1 · doi: 10.48550/arxiv.1106.1455 · pith_short_12: TTXKBDMZFEVC · pith_short_16: TTXKBDMZFEVCKSLM · pith_short_8: TTXKBDMZ

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/TTXKBDMZFEVCKSLMELVSKKHW7V \
  | 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: 9ceea08d99292a25496c22eb2528f6fd527645f10267e50dbd632d395644aed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dadca215312489eeb354b435029a483abad8d78ef0bbd04447f475ab6d03cde",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-07T20:50:12Z",
    "title_canon_sha256": "f239bd0e1120b44590d3eb4437b5891815551c032c79a0f3c968b2eb925942c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1455",
    "kind": "arxiv",
    "version": 1
  }
}