Pith Number

pith:5TAZPPPR

pith:2005:5TAZPPPRYE7ACW7UDCAZFIIXFV

not attested not anchored not stored refs pending

On Aumann's Theorem that the sphere does not admit a mean

F. Javier Trigos-Arrieta, Marian Turzanski

arxiv:math/0501305 v1 · 2005-01-19 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5TAZPPPRYE7ACW7UDCAZFIIXFV}

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	2026-05-18T03:11:10.183898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecc197bdf1c13e015bf4188192a1172d6b4fe24b386c1f760ca40dafaabe274d

Aliases

arxiv: math/0501305 · arxiv_version: math/0501305v1 · doi: 10.48550/arxiv.math/0501305 · pith_short_12: 5TAZPPPRYE7A · pith_short_16: 5TAZPPPRYE7ACW7U · pith_short_8: 5TAZPPPR

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/5TAZPPPRYE7ACW7UDCAZFIIXFV \
  | 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: ecc197bdf1c13e015bf4188192a1172d6b4fe24b386c1f760ca40dafaabe274d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b0a8d2f610c6859c985f138e7faf89ebf46e502bda7fa33c72505530d8d14e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2005-01-19T22:07:29Z",
    "title_canon_sha256": "06e10623e151e69b73578903e03a19369a09c27399547a2f43778006a8cee907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501305",
    "kind": "arxiv",
    "version": 1
  }
}