Pith Number

pith:I7TXG6H5

pith:2015:I7TXG6H5FK6ARYQQBUMP7ZDJWT

not attested not anchored not stored refs pending

Round fold maps on manifolds regarded as the total spaces of linear and more general bundles

Naoki Kitazawa

arxiv:1503.05875 v1 · 2015-03-19 · 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{I7TXG6H5FK6ARYQQBUMP7ZDJWT}

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	2026-05-18T02:20:50.915266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e77378fd2abc08e2100d18ffe469b4d0ba2b61299baba077ed9d0aebb1c46e

Aliases

arxiv: 1503.05875 · arxiv_version: 1503.05875v1 · doi: 10.48550/arxiv.1503.05875 · pith_short_12: I7TXG6H5FK6A · pith_short_16: I7TXG6H5FK6ARYQQ · pith_short_8: I7TXG6H5

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/I7TXG6H5FK6ARYQQBUMP7ZDJWT \
  | 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: 47e77378fd2abc08e2100d18ffe469b4d0ba2b61299baba077ed9d0aebb1c46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5625f0963c24fda6de239836151cf94beb9eecacc333d612248c8c5f28e170a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-19T18:36:52Z",
    "title_canon_sha256": "6ad3f4db03aaaab262ae4dafefa0cc6c20d13e0cf8b5576c63ad7b7231d501d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05875",
    "kind": "arxiv",
    "version": 1
  }
}