Pith Number

pith:VYMAX3K3

pith:2013:VYMAX3K3DAQ2VWSMPSUTXYVXCH

not attested not anchored not stored refs pending

On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity

Giovanni Bellettini, Lucia Tealdi, Maurizio Paolini

arxiv:1310.2443 v1 · 2013-10-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYMAX3K3DAQ2VWSMPSUTXYVXCH}

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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	2026-05-18T03:10:56.710494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae180bed5b1821aada4c7ca93be2b711e3af468bb92eb6e992c47d9d7ac08c74

Aliases

arxiv: 1310.2443 · arxiv_version: 1310.2443v1 · doi: 10.48550/arxiv.1310.2443 · pith_short_12: VYMAX3K3DAQ2 · pith_short_16: VYMAX3K3DAQ2VWSM · pith_short_8: VYMAX3K3

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/VYMAX3K3DAQ2VWSMPSUTXYVXCH \
  | 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: ae180bed5b1821aada4c7ca93be2b711e3af468bb92eb6e992c47d9d7ac08c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5de2c6ffda02788d5c50813939f126e8f5cc0401ab9366c77f56e516975aa6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-09T11:49:54Z",
    "title_canon_sha256": "df28a1b45086b00cb4572129f26ee82957e7a12bdf560591d0f87ba366c08d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2443",
    "kind": "arxiv",
    "version": 1
  }
}