Pith Number

pith:EIABRNNY

pith:2018:EIABRNNYLNMBX4VAHMFFQOUQXC

not attested not anchored not stored refs pending

Lifts of spherical Morse functions

Naoki Kitazawa

arxiv:1805.05852 v3 · 2018-05-15 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIABRNNYLNMBX4VAHMFFQOUQXC}

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	2026-05-17T23:55:58.753223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

220018b5b85b581bf2a03b0a583a90b898570999865267db0a16c9b55595a693

Aliases

arxiv: 1805.05852 · arxiv_version: 1805.05852v3 · doi: 10.48550/arxiv.1805.05852 · pith_short_12: EIABRNNYLNMB · pith_short_16: EIABRNNYLNMBX4VA · pith_short_8: EIABRNNY

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/EIABRNNYLNMBX4VAHMFFQOUQXC \
  | 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: 220018b5b85b581bf2a03b0a583a90b898570999865267db0a16c9b55595a693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66c3ffcd0c38502a734e9609669b86f574dda478b032ce37fb3874d9f5bcc80",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-05-15T15:35:29Z",
    "title_canon_sha256": "b4134c55a40cc4522a2130a975721cde38a94e0ad7674169602177a21b09de84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05852",
    "kind": "arxiv",
    "version": 3
  }
}