Pith Number

pith:W55IWL5Q

pith:2014:W55IWL5QBR7QIAUJSHGIRIN36E

not attested not anchored not stored refs pending

Holomorphic isometric embeddings of the projective line into quadrics

Masaro Takahashi, Oscar Macia, Yasuyuki Nagatomo

arxiv:1408.3178 v1 · 2014-08-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W55IWL5QBR7QIAUJSHGIRIN36E}

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	2026-05-18T02:45:13.635521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77a8b2fb00c7f04028991cc88a1bbf10f1c3c51b0cdd2a5246dd00351e3d212

Aliases

arxiv: 1408.3178 · arxiv_version: 1408.3178v1 · doi: 10.48550/arxiv.1408.3178 · pith_short_12: W55IWL5QBR7Q · pith_short_16: W55IWL5QBR7QIAUJ · pith_short_8: W55IWL5Q

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/W55IWL5QBR7QIAUJSHGIRIN36E \
  | 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: b77a8b2fb00c7f04028991cc88a1bbf10f1c3c51b0cdd2a5246dd00351e3d212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8bc46d09ed24ae3ada8905e3f5a5c55fc37a38bd13b6132aec3f4a667eef54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-14T01:40:28Z",
    "title_canon_sha256": "a105b8ff5063b59184c18df76494c8bf5be0cb96727b1e8105a2f3898c67cd55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3178",
    "kind": "arxiv",
    "version": 1
  }
}