Pith Number

pith:AFXKANIC

pith:2011:AFXKANICJWGULBDWP6L25C3IQF

not attested not anchored not stored refs pending

Degenerate characteristic directions for maps tangent to the Identity

Liz Vivas

arxiv:1106.1471 v2 · 2011-06-07 · math.CV · 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{AFXKANICJWGULBDWP6L25C3IQF}

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	2026-05-18T04:06:44.835383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

016ea035024d8d4584767f97ae8b688178539c6a3b7bc3c4f944d2a522356191

Aliases

arxiv: 1106.1471 · arxiv_version: 1106.1471v2 · doi: 10.48550/arxiv.1106.1471 · pith_short_12: AFXKANICJWGU · pith_short_16: AFXKANICJWGULBDW · pith_short_8: AFXKANIC

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/AFXKANICJWGULBDWP6L25C3IQF \
  | 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: 016ea035024d8d4584767f97ae8b688178539c6a3b7bc3c4f944d2a522356191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc85045f0fd408c3e29095d42982a2880b513894dc8c92479318c8c604c0582",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-07T23:01:53Z",
    "title_canon_sha256": "3f0d3b955126a559b1ee8be22f1e806f0c39195e7ce64d643bde8ec67a6b2078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1471",
    "kind": "arxiv",
    "version": 2
  }
}