Pith Number

pith:3JWLBTHV

pith:2012:3JWLBTHVQAWW4Q2GYL2MSPJXHP

not attested not anchored not stored refs pending

Singularities of convex improper affine maps

Marcos Craizer

arxiv:1204.3778 v3 · 2012-04-17 · 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{3JWLBTHVQAWW4Q2GYL2MSPJXHP}

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	2026-05-18T03:49:34.766217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6cb0ccf5802d6e4346c2f4c93d373bf8cd75d93c6c89ed96e8274974500362

Aliases

arxiv: 1204.3778 · arxiv_version: 1204.3778v3 · doi: 10.48550/arxiv.1204.3778 · pith_short_12: 3JWLBTHVQAWW · pith_short_16: 3JWLBTHVQAWW4Q2G · pith_short_8: 3JWLBTHV

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/3JWLBTHVQAWW4Q2GYL2MSPJXHP \
  | 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: da6cb0ccf5802d6e4346c2f4c93d373bf8cd75d93c6c89ed96e8274974500362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d1b30dfba991b74f5b31141de1540211fdd3c3a895c6cfc23b30c58c705e4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-17T12:21:26Z",
    "title_canon_sha256": "8a275cf31a05e1d585630956c318e0a7d801c3f9380ea8f21e88a6f5adc9c494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3778",
    "kind": "arxiv",
    "version": 3
  }
}