Pith Number

pith:VZL3VSOY

pith:2013:VZL3VSOYJIPD3WK7CGB7D452ZV

not attested not anchored not stored refs pending

The raising steps method. Applications to the $\bar \partial $ equation in Stein manifolds

Eric Amar (IMB)

arxiv:1312.7648 v2 · 2013-12-30 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZL3VSOYJIPD3WK7CGB7D452ZV}

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	2026-05-18T03:02:56.682920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae57bac9d84a1e3dd95f1183f1f3bacd760e90313ea3fdf4d9bc1611f3aef84a

Aliases

arxiv: 1312.7648 · arxiv_version: 1312.7648v2 · doi: 10.48550/arxiv.1312.7648 · pith_short_12: VZL3VSOYJIPD · pith_short_16: VZL3VSOYJIPD3WK7 · pith_short_8: VZL3VSOY

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/VZL3VSOYJIPD3WK7CGB7D452ZV \
  | 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: ae57bac9d84a1e3dd95f1183f1f3bacd760e90313ea3fdf4d9bc1611f3aef84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ff00e0404028203fe7a657c0a23cdcaac84fca2c2ff25d8c4996334188fda4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-12-30T08:24:34Z",
    "title_canon_sha256": "a6d743204488d83dc368050c0874d5abf8d54fbaca094198172b2ad40b3779e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7648",
    "kind": "arxiv",
    "version": 2
  }
}