Pith Number

pith:ODURA2I4

pith:2010:ODURA2I4CAIOIKN5Y7RFJ7XOIA

not attested not anchored not stored refs pending

Visual Contours and Planar Sections of Affine Immersions

Marcos Craizer

arxiv:1003.5795 v2 · 2010-03-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODURA2I4CAIOIKN5Y7RFJ7XOIA}

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	2026-05-18T04:33:49.762394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e910691c1010e429bdc7e254feee4036f0a5cf1391e35b753ad983b31c5b63

Aliases

arxiv: 1003.5795 · arxiv_version: 1003.5795v2 · doi: 10.48550/arxiv.1003.5795 · pith_short_12: ODURA2I4CAIO · pith_short_16: ODURA2I4CAIOIKN5 · pith_short_8: ODURA2I4

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/ODURA2I4CAIOIKN5Y7RFJ7XOIA \
  | 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: 70e910691c1010e429bdc7e254feee4036f0a5cf1391e35b753ad983b31c5b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594f55f1f56d95bba19b0f17b5f528994d95d2ed7fdbc1da8b30f8601b71e702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-30T11:26:21Z",
    "title_canon_sha256": "8aea74d21ce3c3e934d8c69d948cce97d67ce99f9e5195bdd5e21e3e3cf8fab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5795",
    "kind": "arxiv",
    "version": 2
  }
}