Pith Number

pith:IA7SXT2W

pith:2010:IA7SXT2WRJUDU5WSE47QVOW5HL

not attested not anchored not stored refs pending

A geometric proof of the colored Tverberg theorem

Ji\v{r}\'i Matou\v{s}ek, Martin Tancer, Uli Wagner

arxiv:1008.5275 v2 · 2010-08-31 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IA7SXT2WRJUDU5WSE47QVOW5HL}

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	2026-05-18T04:20:59.154645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403f2bcf568a683a76d2273f0abadd3adc8635544f5d3858e10b60ce7613680d

Aliases

arxiv: 1008.5275 · arxiv_version: 1008.5275v2 · doi: 10.48550/arxiv.1008.5275 · pith_short_12: IA7SXT2WRJUD · pith_short_16: IA7SXT2WRJUDU5WS · pith_short_8: IA7SXT2W

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/IA7SXT2WRJUDU5WSE47QVOW5HL \
  | 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: 403f2bcf568a683a76d2273f0abadd3adc8635544f5d3858e10b60ce7613680d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77550b4bf4f980ec09f2851966b4dde3d300d726b1cbc6018bf741dcf16c00e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-31T10:26:24Z",
    "title_canon_sha256": "5dacae0585a0e8b6ca95ab425af91ef68802ac292acfa9be00b0b498bec3ec98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5275",
    "kind": "arxiv",
    "version": 2
  }
}