Pith Number

pith:U4GLZMCS

pith:2018:U4GLZMCS44IH276EO37TUB2B3B

not attested not anchored not stored refs pending

Degrees of maps between $S^3$-bundles over $S^5$

Xueqi Wang

arxiv:1810.10154 v1 · 2018-10-24 · 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{U4GLZMCS44IH276EO37TUB2B3B}

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	2026-05-18T00:02:24.116912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70cbcb052e7107d7fc476ff3a0741d87e7ee1e020c55a655d294c053112ad84

Aliases

arxiv: 1810.10154 · arxiv_version: 1810.10154v1 · doi: 10.48550/arxiv.1810.10154 · pith_short_12: U4GLZMCS44IH · pith_short_16: U4GLZMCS44IH276E · pith_short_8: U4GLZMCS

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/U4GLZMCS44IH276EO37TUB2B3B \
  | 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: a70cbcb052e7107d7fc476ff3a0741d87e7ee1e020c55a655d294c053112ad84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee1f52d63193ad1b0140c39b7153ca7860a2e0cc90c8adb8f4797f3e53724c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-10-24T02:34:01Z",
    "title_canon_sha256": "c8c4f81608ecd597e49a5504f60dd3894bb47bf6b2a95974bc68976f06353c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10154",
    "kind": "arxiv",
    "version": 1
  }
}