Pith Number

pith:EPG2VJQW

pith:2011:EPG2VJQWZSOGLM3S2S357R7MBH

not attested not anchored not stored refs pending

A Banach algebraic Approach to the Borsuk-Ulam Theorem

Ali Taghavi

arxiv:1110.0091 v3 · 2011-10-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPG2VJQWZSOGLM3S2S357R7MBH}

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	2026-05-18T03:10:26.997573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23cdaaa616cc9c65b372d4b7dfc7ec09d65bbef87b9bcbd2305926ec637bc885

Aliases

arxiv: 1110.0091 · arxiv_version: 1110.0091v3 · doi: 10.48550/arxiv.1110.0091 · pith_short_12: EPG2VJQWZSOG · pith_short_16: EPG2VJQWZSOGLM3S · pith_short_8: EPG2VJQW

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/EPG2VJQWZSOGLM3S2S357R7MBH \
  | 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: 23cdaaa616cc9c65b372d4b7dfc7ec09d65bbef87b9bcbd2305926ec637bc885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b57c8bc812777f4b087cc503d929dd8fef9cca34043fa68f19a65deace90e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-10-01T10:12:47Z",
    "title_canon_sha256": "d9c0294029f1768e12e638e479102d89473c1d89f46f219a708a99767413ed69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0091",
    "kind": "arxiv",
    "version": 3
  }
}