Pith Number

pith:HT4FGFKP

pith:2017:HT4FGFKPKLYTJE6JBOROUBRTME

not attested not anchored not stored refs pending

Tverberg's theorem is 50 years old: a survey

Imre B\'ar\'any, Pablo Sober\'on

arxiv:1712.06119 v2 · 2017-12-17 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT4FGFKPKLYTJE6JBOROUBRTME}

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	2026-05-18T00:14:34.187104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf853154f52f13493c90ba2ea0633612b6903a0ca7d495a62e2fb10e83e07ac

Aliases

arxiv: 1712.06119 · arxiv_version: 1712.06119v2 · doi: 10.48550/arxiv.1712.06119 · pith_short_12: HT4FGFKPKLYT · pith_short_16: HT4FGFKPKLYTJE6J · pith_short_8: HT4FGFKP

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/HT4FGFKPKLYTJE6JBOROUBRTME \
  | 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: 3cf853154f52f13493c90ba2ea0633612b6903a0ca7d495a62e2fb10e83e07ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3539d75385d995d30524675904903140a75ed45e527d146aca2bf7894d48b0a8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-17T14:20:05Z",
    "title_canon_sha256": "4d74f90223140fd84e34d781da70792f5aeb8d244a3746789b640ee518e5f07e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06119",
    "kind": "arxiv",
    "version": 2
  }
}