Pith Number

pith:63VBVEWN

pith:2018:63VBVEWNL4SGGFPK7DR5FBIGX4

not attested not anchored not stored refs pending

Differential of metric valued Sobolev maps

Elefterios Soultanis, Enrico Pasqualetto, Nicola Gigli

arxiv:1807.10063 v1 · 2018-07-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63VBVEWNL4SGGFPK7DR5FBIGX4}

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	2026-05-18T00:09:45.538566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ea1a92cd5f246315eaf8e3d28506bf0ebff988ca38375933be091941473caf

Aliases

arxiv: 1807.10063 · arxiv_version: 1807.10063v1 · doi: 10.48550/arxiv.1807.10063 · pith_short_12: 63VBVEWNL4SG · pith_short_16: 63VBVEWNL4SGGFPK · pith_short_8: 63VBVEWN

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/63VBVEWNL4SGGFPK7DR5FBIGX4 \
  | 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: f6ea1a92cd5f246315eaf8e3d28506bf0ebff988ca38375933be091941473caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90f40f691f00ebdba3ce001aac62508857d013eaeedc072038acaa2fc1dbe9cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-26T11:00:08Z",
    "title_canon_sha256": "961224383d5f3f04dfb681f17de8708edb93c9bb4d580293dad4bb61af1ba0b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10063",
    "kind": "arxiv",
    "version": 1
  }
}