Pith Number

pith:ZMRNDLDG

pith:2017:ZMRNDLDGGVSXL4H53RXIG5B43X

not attested not anchored not stored refs pending

On the leafwise cohomology and dynamical zeta functions for fiber bundles over the circle

Junhyeong Kim

arxiv:1712.04181 v2 · 2017-12-12 · math.DG · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMRNDLDGGVSXL4H53RXIG5B43X}

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	2026-05-18T00:19:56.632681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb22d1ac66356575f0fddc6e83743cddc1ba7b855614d96e6eda34e42c08af9c

Aliases

arxiv: 1712.04181 · arxiv_version: 1712.04181v2 · doi: 10.48550/arxiv.1712.04181 · pith_short_12: ZMRNDLDGGVSX · pith_short_16: ZMRNDLDGGVSXL4H5 · pith_short_8: ZMRNDLDG

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/ZMRNDLDGGVSXL4H53RXIG5B43X \
  | 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: cb22d1ac66356575f0fddc6e83743cddc1ba7b855614d96e6eda34e42c08af9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6a1f4e0341b7ab3d41db965d0d96c68ebfc171a098a98c8ab79d92651008b1",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-12T09:06:41Z",
    "title_canon_sha256": "fa9a47c1e3267c364b92532baad81a049812041f08b2e0f4131845e1583c8c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04181",
    "kind": "arxiv",
    "version": 2
  }
}