Pith Number

pith:DY3ZOLUM

pith:2011:DY3ZOLUM3A72QHYUOUWSQJ7PGV

not attested not anchored not stored refs pending

Reconstruction of Manifolds from Their Morse Functions

Kohei Tanaka

arxiv:1106.3374 v3 · 2011-06-17 · 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{DY3ZOLUM3A72QHYUOUWSQJ7PGV}

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	2026-05-18T03:27:01.941826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e37972e8cd83fa81f14752d2827ef35792053e91896e9841af0f62dd7c6f6ff

Aliases

arxiv: 1106.3374 · arxiv_version: 1106.3374v3 · doi: 10.48550/arxiv.1106.3374 · pith_short_12: DY3ZOLUM3A72 · pith_short_16: DY3ZOLUM3A72QHYU · pith_short_8: DY3ZOLUM

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/DY3ZOLUM3A72QHYUOUWSQJ7PGV \
  | 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: 1e37972e8cd83fa81f14752d2827ef35792053e91896e9841af0f62dd7c6f6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af7f7a6383d822bd87193d565670532d72ae98d279063dca9b85306ba3d1408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-17T01:45:01Z",
    "title_canon_sha256": "d20eec4528b6dec5734bdc39eddf55d0d1d8f411e19e4888514c6b8a42042bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3374",
    "kind": "arxiv",
    "version": 3
  }
}