Pith Number

pith:2NX7Y4BW

pith:2013:2NX7Y4BWODZTKWRV5IGELUY7R3

not attested not anchored not stored refs pending

Multiple valued functions and integral currents

Camillo De Lellis, Emanuele Spadaro

arxiv:1306.1188 v1 · 2013-06-05 · 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{2NX7Y4BWODZTKWRV5IGELUY7R3}

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	2026-05-18T03:21:44.013970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d36ffc703670f3355a35ea0c45d31f8ec81b7574dc2afb41478577161f242e49

Aliases

arxiv: 1306.1188 · arxiv_version: 1306.1188v1 · doi: 10.48550/arxiv.1306.1188 · pith_short_12: 2NX7Y4BWODZT · pith_short_16: 2NX7Y4BWODZTKWRV · pith_short_8: 2NX7Y4BW

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/2NX7Y4BWODZTKWRV5IGELUY7R3 \
  | 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: d36ffc703670f3355a35ea0c45d31f8ec81b7574dc2afb41478577161f242e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ddd5f37b68b397ee09865631755f59ce7baaa08a655c88fc8c06b2bb86a50c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-05T17:51:25Z",
    "title_canon_sha256": "d657906e72d083495284992ca77f72649b96457c37c725531383417eb4d07347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1188",
    "kind": "arxiv",
    "version": 1
  }
}