Pith Number

pith:HVC4RICM

pith:2008:HVC4RICMBXIF6UTTKKVI4EXTI2

not attested not anchored not stored refs pending

Parametrized Borsuk-Ulam problem for projective space bundles

Mahender Singh

arxiv:0810.4669 v3 · 2008-10-26 · 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{HVC4RICMBXIF6UTTKKVI4EXTI2}

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	2026-05-18T04:32:22.243391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d45c8a04c0dd05f527352aa8e12f346a6c06de026e88959480fdd4bac2b481b

Aliases

arxiv: 0810.4669 · arxiv_version: 0810.4669v3 · doi: 10.48550/arxiv.0810.4669 · pith_short_12: HVC4RICMBXIF · pith_short_16: HVC4RICMBXIF6UTT · pith_short_8: HVC4RICM

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/HVC4RICMBXIF6UTTKKVI4EXTI2 \
  | 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: 3d45c8a04c0dd05f527352aa8e12f346a6c06de026e88959480fdd4bac2b481b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041c0858863348e1f83afd3674e182a4238de4692f2e8f14c14b7cbf8b5d547c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-10-26T07:41:53Z",
    "title_canon_sha256": "037e617a6dd048a4f96eea3612a08bae0f332fb669748366fd3c9e9741ff85dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4669",
    "kind": "arxiv",
    "version": 3
  }
}