Pith Number

pith:CAIGD64F

pith:2018:CAIGD64FIRRK7RE5PKY4SXCOSH

not attested not anchored not stored refs pending

Two-parameter unfolding of a parabolic point of a vector field in $\mathbb C$ fixing the origin

Christiane Rousseau

arxiv:1812.04665 v1 · 2018-12-11 · 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{CAIGD64FIRRK7RE5PKY4SXCOSH}

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	2026-05-17T23:58:29.884045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101061fb854462afc49d7ab1c95c4e91db0e05859482b629a9466e2b1b51bff5

Aliases

arxiv: 1812.04665 · arxiv_version: 1812.04665v1 · doi: 10.48550/arxiv.1812.04665 · pith_short_12: CAIGD64FIRRK · pith_short_16: CAIGD64FIRRK7RE5 · pith_short_8: CAIGD64F

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/CAIGD64FIRRK7RE5PKY4SXCOSH \
  | 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: 101061fb854462afc49d7ab1c95c4e91db0e05859482b629a9466e2b1b51bff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca60e9e54b81c4df75e1e7e1cb58d1b59c24043a019d778c73d6cd606c83b6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-11T19:51:59Z",
    "title_canon_sha256": "7106b314603222ae7741258587849a32ede9a0a75949fa0a65372881f65d79d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04665",
    "kind": "arxiv",
    "version": 1
  }
}