Pith Number

pith:FUU77546

pith:2010:FUU77546UV7WQ4OQMQBIZH6KDY

not attested not anchored not stored refs pending

A simple proof of the Borsuk-Ulam theorem for Z_p-actions

Mahender Singh

arxiv:1008.1134 v1 · 2010-08-06 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUU77546UV7WQ4OQMQBIZH6KDY}

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	2026-05-18T04:42:34.063884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d29fff79ea57f6871d064028c9fca1e2b6335afa439c4ff56c21779c4c9de09

Aliases

arxiv: 1008.1134 · arxiv_version: 1008.1134v1 · doi: 10.48550/arxiv.1008.1134 · pith_short_12: FUU77546UV7W · pith_short_16: FUU77546UV7WQ4OQ · pith_short_8: FUU77546

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/FUU77546UV7WQ4OQMQBIZH6KDY \
  | 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: 2d29fff79ea57f6871d064028c9fca1e2b6335afa439c4ff56c21779c4c9de09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a410243869bd17780cc221b6625c730635cc939811ac18299c64f352491dc57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-08-06T08:30:43Z",
    "title_canon_sha256": "3dc4c9628c071dde9453f6f73d1c8a5b89e2b3ea45e006ad774857ee08a39707"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1134",
    "kind": "arxiv",
    "version": 1
  }
}