Pith Number

pith:AJ6RODTU

pith:2017:AJ6RODTUPDQXM6FCJXWUDN45ZM

not attested not anchored not stored refs pending

Uniform boundedness principles for Sobolev maps into manifolds

Antonin Monteil, Jean Van Schaftingen

arxiv:1709.08565 v1 · 2017-09-25 · math.FA · 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{AJ6RODTUPDQXM6FCJXWUDN45ZM}

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	2026-05-17T23:49:12.023421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

027d170e7478e17678a24ded41b79dcb0fcb669f490e55ab95f2c4e9f8e26cdd

Aliases

arxiv: 1709.08565 · arxiv_version: 1709.08565v1 · doi: 10.48550/arxiv.1709.08565 · pith_short_12: AJ6RODTUPDQX · pith_short_16: AJ6RODTUPDQXM6FC · pith_short_8: AJ6RODTU

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/AJ6RODTUPDQXM6FCJXWUDN45ZM \
  | 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: 027d170e7478e17678a24ded41b79dcb0fcb669f490e55ab95f2c4e9f8e26cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80136f930792dfe20352fe8cbc90a62f8d1289f2689b5ae1930acda2702c6a0c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-25T15:54:59Z",
    "title_canon_sha256": "43689edcb02d56f670ec6b5abca29ad18cefa3168ca3ceb448d3a3389d0aec3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08565",
    "kind": "arxiv",
    "version": 1
  }
}