Pith Number

pith:5XWISUJR

pith:2019:5XWISUJR4LN3IB2N2T2NI3UUUY

not attested not anchored not stored refs pending

Shadows of acyclic 4-manifolds with sphere boundary

Hironobu Naoe, Yuya Koda

arxiv:1905.00809 v1 · 2019-05-02 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XWISUJR4LN3IB2N2T2NI3UUUY}

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	2026-07-05T02:04:39.081693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edec895131e2dbb4074dd4f4d46e94a60f4e3bc979ddcee6021ebe9b0237d4a6

Aliases

arxiv: 1905.00809 · arxiv_version: 1905.00809v1 · doi: 10.48550/arxiv.1905.00809 · pith_short_12: 5XWISUJR4LN3 · pith_short_16: 5XWISUJR4LN3IB2N · pith_short_8: 5XWISUJR

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/5XWISUJR4LN3IB2N2T2NI3UUUY \
  | 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: edec895131e2dbb4074dd4f4d46e94a60f4e3bc979ddcee6021ebe9b0237d4a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc077052efd1269a02124820fd6f0306606a6ffbce996f0e9f82eb9baf6f391",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-02T15:31:42Z",
    "title_canon_sha256": "bd411b38b9b247645d890183c034746a273e2df53fe7ce3e71263292cc99190e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00809",
    "kind": "arxiv",
    "version": 1
  }
}