Pith Number

pith:TKAYYS2R

pith:2013:TKAYYS2R3LNZEPDHZ6UD7ERXE5

not attested not anchored not stored refs pending

Alexandroff type manifolds and homology manifolds

V. Todorov, V. Valov

arxiv:1301.2809 v5 · 2013-01-13 · math.GN · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKAYYS2R3LNZEPDHZ6UD7ERXE5}

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	2026-05-18T02:54:21.624243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a818c4b51dadb923c67cfa83f9237276cd865e320ce2121bed38ab2bf5aebd6

Aliases

arxiv: 1301.2809 · arxiv_version: 1301.2809v5 · doi: 10.48550/arxiv.1301.2809 · pith_short_12: TKAYYS2R3LNZ · pith_short_16: TKAYYS2R3LNZEPDH · pith_short_8: TKAYYS2R

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/TKAYYS2R3LNZEPDHZ6UD7ERXE5 \
  | 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: 9a818c4b51dadb923c67cfa83f9237276cd865e320ce2121bed38ab2bf5aebd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3994fcc38b53e1b2db337bdc16c35975a88a324a3c851f9fef10ca2fc889a8a2",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2013-01-13T19:03:33Z",
    "title_canon_sha256": "8bbfe469423f4a1e41d389cbf584094ed67995a4193956964c43e2b0bd311a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2809",
    "kind": "arxiv",
    "version": 5
  }
}