Pith Number

pith:ET2XEISK

pith:2016:ET2XEISKXPE63RBCTN727LCZ4Q

not attested not anchored not stored refs pending

Spectral analysis of morse-smale gradient flows

Gabriel Riviere (LPP), Nguyen Viet Dang (ICJ)

arxiv:1605.05516 v3 · 2016-05-18 · math.DS · math.GT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ET2XEISKXPE63RBCTN727LCZ4Q}

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	2026-05-18T00:17:02.177097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24f572224abbc9edc4229b7fafac59e412ed15b9ab4e2eb70aef0bafb836052c

Aliases

arxiv: 1605.05516 · arxiv_version: 1605.05516v3 · doi: 10.48550/arxiv.1605.05516 · pith_short_12: ET2XEISKXPE6 · pith_short_16: ET2XEISKXPE63RBC · pith_short_8: ET2XEISK

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/ET2XEISKXPE63RBCTN727LCZ4Q \
  | 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: 24f572224abbc9edc4229b7fafac59e412ed15b9ab4e2eb70aef0bafb836052c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77a3cd3483bdd86199f7c23355373a18083a0ec136c426920889405bcddf42e4",
    "cross_cats_sorted": [
      "math.GT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-18T10:52:10Z",
    "title_canon_sha256": "305f35e7fd47cf9c2303f928d561da78e6a98c8f9e9f7002592a37731836bfb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05516",
    "kind": "arxiv",
    "version": 3
  }
}