Pith Number

pith:BJMM4WJU

pith:2012:BJMM4WJU4IOPDELJW5O5UNKCFO

not attested not anchored not stored refs pending

Projective center point and Tverberg theorems

Benjamin Matschke, Roman Karasev

arxiv:1207.2204 v1 · 2012-07-10 · math.AT · 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{BJMM4WJU4IOPDELJW5O5UNKCFO}

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	2026-05-18T02:42:15.305161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a58ce5934e21cf19169b75dda35422bb3f01230a302112414b2099a71e4c330

Aliases

arxiv: 1207.2204 · arxiv_version: 1207.2204v1 · doi: 10.48550/arxiv.1207.2204 · pith_short_12: BJMM4WJU4IOP · pith_short_16: BJMM4WJU4IOPDELJ · pith_short_8: BJMM4WJU

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/BJMM4WJU4IOPDELJW5O5UNKCFO \
  | 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: 0a58ce5934e21cf19169b75dda35422bb3f01230a302112414b2099a71e4c330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3452abdb6a0baa42db1cb30ffe0032688b9655afa689a5440dbc33e23d964758",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-07-10T01:17:10Z",
    "title_canon_sha256": "83e213873e2f0bc0f3d4e8cbbc7fe41a77d4241cf1a15bdb5003366de0db8d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2204",
    "kind": "arxiv",
    "version": 1
  }
}