Pith Number

pith:NNEWPS2B

pith:2010:NNEWPS2BSWVFFT3DW4OFAT5DS6

not attested not anchored not stored refs pending

Dynamics near manifolds of equilibria of codimension one and bifurcation without parameters

Stefan Liebscher

arxiv:1004.3410 v2 · 2010-04-20 · 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{NNEWPS2BSWVFFT3DW4OFAT5DS6}

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	2026-05-18T03:51:24.004200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4967cb4195aa52cf63b71c504fa397903f64157ef63d0529d3734efc944257

Aliases

arxiv: 1004.3410 · arxiv_version: 1004.3410v2 · doi: 10.48550/arxiv.1004.3410 · pith_short_12: NNEWPS2BSWVF · pith_short_16: NNEWPS2BSWVFFT3D · pith_short_8: NNEWPS2B

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/NNEWPS2BSWVFFT3DW4OFAT5DS6 \
  | 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: 6b4967cb4195aa52cf63b71c504fa397903f64157ef63d0529d3734efc944257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f989caf377158a12785050b1ff8b8ba913e00a6d0a86cb0deff3b929b2ddfe8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-20T11:16:01Z",
    "title_canon_sha256": "e2f36b831da3b6c20e4761ebc697332c79fc71fd1599a7be9a50abef53d08b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3410",
    "kind": "arxiv",
    "version": 2
  }
}