Pith Number

pith:IQHAH5TX

pith:2013:IQHAH5TXOLQ3FBB2UDYK2W4AGA

not attested not anchored not stored refs pending

Complex-projective and lens product spaces

Jesus Gonzalez, Maurilio Velasco

arxiv:1311.1220 v1 · 2013-11-05 · 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{IQHAH5TXOLQ3FBB2UDYK2W4AGA}

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	2026-05-18T03:07:53.992056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

440e03f67772e1b2843aa0f0ad5b80300e3c0ca394bf1775139499f88b0c8a28

Aliases

arxiv: 1311.1220 · arxiv_version: 1311.1220v1 · doi: 10.48550/arxiv.1311.1220 · pith_short_12: IQHAH5TXOLQ3 · pith_short_16: IQHAH5TXOLQ3FBB2 · pith_short_8: IQHAH5TX

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/IQHAH5TXOLQ3FBB2UDYK2W4AGA \
  | 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: 440e03f67772e1b2843aa0f0ad5b80300e3c0ca394bf1775139499f88b0c8a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b7d356dfaf07f520ac38b6fdbfa061d161722a5973cd3575839070ceb1d9fd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-05T21:09:11Z",
    "title_canon_sha256": "7cf149e2e6d6e56f834c3fc87df35e357291a0e4e9afa1784bcbffc79ded7bd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1220",
    "kind": "arxiv",
    "version": 1
  }
}