Pith Number

pith:G2PHGSH7

pith:2012:G2PHGSH77DGWP3FGO3UDWBPNCB

not attested not anchored not stored refs pending

Free Actions on Products of Spheres at High Dimensions

Ergun Yalcin, Osman Berat Okutan

arxiv:1207.2363 v1 · 2012-07-10 · 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{G2PHGSH77DGWP3FGO3UDWBPNCB}

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	2026-05-18T01:22:26.513179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

369e7348fff8cd67eca676e83b05ed105b61b3f45cc59ea4f2e7a18493420fcc

Aliases

arxiv: 1207.2363 · arxiv_version: 1207.2363v1 · doi: 10.48550/arxiv.1207.2363 · pith_short_12: G2PHGSH77DGW · pith_short_16: G2PHGSH77DGWP3FG · pith_short_8: G2PHGSH7

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/G2PHGSH77DGWP3FGO3UDWBPNCB \
  | 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: 369e7348fff8cd67eca676e83b05ed105b61b3f45cc59ea4f2e7a18493420fcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "077abf3775ed3a8ba8d87a76575ab24c86e6d3af20b12c63e4d0c96c72957e5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-07-10T14:19:59Z",
    "title_canon_sha256": "37921c8284e11dce9572e88dc3332fe34acd92616538d39812e38d6612e4877c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2363",
    "kind": "arxiv",
    "version": 1
  }
}