Pith Number

pith:WFI3USFA

pith:2014:WFI3USFAXJBCCELGR2HN3JMJLZ

not attested not anchored not stored refs pending

Using Brouwer's fixed point theorem

Anders Bj\"orner, G\"unter M. Ziegler, Ji\v{r}\'i Matou\v{s}ek

arxiv:1409.7890 v2 · 2014-09-28 · math.CO · 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{WFI3USFAXJBCCELGR2HN3JMJLZ}

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	2026-05-18T00:52:53.419366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b151ba48a0ba422111668e8edda5895e405e7226be943e7439c6f530b551c4b6

Aliases

arxiv: 1409.7890 · arxiv_version: 1409.7890v2 · doi: 10.48550/arxiv.1409.7890 · pith_short_12: WFI3USFAXJBC · pith_short_16: WFI3USFAXJBCCELG · pith_short_8: WFI3USFA

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/WFI3USFAXJBCCELGR2HN3JMJLZ \
  | 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: b151ba48a0ba422111668e8edda5895e405e7226be943e7439c6f530b551c4b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002a16ab88d3bcd086149946fce9d50d8c4a17cabf12fc50f013c672b7c7fccf",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-28T10:31:28Z",
    "title_canon_sha256": "1e01388454c41d7914bf1be7b7931fd72e90b702f687c3a39ad63c927305a0d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7890",
    "kind": "arxiv",
    "version": 2
  }
}