Pith Number

pith:JJHC2XSX

pith:2018:JJHC2XSX4XE7HO5Z3OOUWETYFY

not attested not anchored not stored refs pending

Morse-Smale flow, Milnor metric, and dynamical zeta function

Jianqing Yu, Shu Shen

arxiv:1806.00662 v2 · 2018-06-02 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJHC2XSX4XE7HO5Z3OOUWETYFY}

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	2026-07-05T02:27:10.199454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4e2d5e57e5c9f3bbb9db9d4b12782e0784f7133d667b70ab04dcf1956369d9

Aliases

arxiv: 1806.00662 · arxiv_version: 1806.00662v2 · doi: 10.48550/arxiv.1806.00662 · pith_short_12: JJHC2XSX4XE7 · pith_short_16: JJHC2XSX4XE7HO5Z · pith_short_8: JJHC2XSX

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/JJHC2XSX4XE7HO5Z3OOUWETYFY \
  | 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: 4a4e2d5e57e5c9f3bbb9db9d4b12782e0784f7133d667b70ab04dcf1956369d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f738b9c3976cd44470f6440c588de7e52bbc9892c29e76bf9b208513cf1752b5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-02T16:28:43Z",
    "title_canon_sha256": "1c6b40319f0f9321a3e61d16693446b7f6b07e8ece4f8205ebf8e13132e36857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00662",
    "kind": "arxiv",
    "version": 2
  }
}