Pith Number

pith:PPDF6DWG

pith:2013:PPDF6DWGDIXNP6QEL7T4M2MNYE

not attested not anchored not stored refs pending

The Cauchy problem for indefinite improper affine spheres and their Hessian equation

Francisco Mil\'an

arxiv:1302.5550 v2 · 2013-02-22 · 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{PPDF6DWGDIXNP6QEL7T4M2MNYE}

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	2026-05-18T03:28:19.131626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc65f0ec61a2ed7fa045fe7c6698dc1306afd6ab3f1e254a33ba641b0d99ec3

Aliases

arxiv: 1302.5550 · arxiv_version: 1302.5550v2 · doi: 10.48550/arxiv.1302.5550 · pith_short_12: PPDF6DWGDIXN · pith_short_16: PPDF6DWGDIXNP6QE · pith_short_8: PPDF6DWG

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/PPDF6DWGDIXNP6QEL7T4M2MNYE \
  | 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: 7bc65f0ec61a2ed7fa045fe7c6698dc1306afd6ab3f1e254a33ba641b0d99ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aaf87ce0978bfdd8e58da4599d79b1de56a1121e1d8ce8917c2c52a37389a84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-22T11:03:34Z",
    "title_canon_sha256": "9017bcab5bd5ca1badf8915cdadcf71eb9389be317f00ba0acf462226452407a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5550",
    "kind": "arxiv",
    "version": 2
  }
}