Pith Number

pith:XMFFMDES

pith:2015:XMFFMDES6UNSWB37LUAUECD3RA

not attested not anchored not stored refs pending

Unfoldings of saddle-nodes and their Dulac time

David Mar\'in, Jordi Villadelprat, Mariana Saavedra, Pavao Mardesi\'c

arxiv:1503.04629 v1 · 2015-03-16 · 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{XMFFMDES6UNSWB37LUAUECD3RA}

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	2026-05-18T02:23:24.462052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0a560c92f51b2b077f5d0142087b882d63f5736cee36d0f3a7cbd0906c1222

Aliases

arxiv: 1503.04629 · arxiv_version: 1503.04629v1 · doi: 10.48550/arxiv.1503.04629 · pith_short_12: XMFFMDES6UNS · pith_short_16: XMFFMDES6UNSWB37 · pith_short_8: XMFFMDES

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/XMFFMDES6UNSWB37LUAUECD3RA \
  | 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: bb0a560c92f51b2b077f5d0142087b882d63f5736cee36d0f3a7cbd0906c1222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319d8276b08aa5a73f8eff800d624120ea93bb2d5f5aa5d089202d5c6922a407",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-16T12:54:24Z",
    "title_canon_sha256": "ad36e03fc909cb0856b39be91f730b338226b2e038e2f9309155c56083a2c245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04629",
    "kind": "arxiv",
    "version": 1
  }
}