Pith Number

pith:RT6T3GM2

pith:2017:RT6T3GM2S5YH7GV3PBJ56CB7RL

not attested not anchored not stored refs pending

Weak approximation by bounded Sobolev maps with values into complete manifolds

Augusto C. Ponce, Jean Van Schaftingen, Pierre Bousquet

arxiv:1701.07627 v1 · 2017-01-26 · 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{RT6T3GM2S5YH7GV3PBJ56CB7RL}

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	2026-05-18T00:22:40.118549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cfd3d999a97707f9abb7853df083f8ad13d31dcd5c2eccdb189a9e8718ff365

Aliases

arxiv: 1701.07627 · arxiv_version: 1701.07627v1 · doi: 10.48550/arxiv.1701.07627 · pith_short_12: RT6T3GM2S5YH · pith_short_16: RT6T3GM2S5YH7GV3 · pith_short_8: RT6T3GM2

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/RT6T3GM2S5YH7GV3PBJ56CB7RL \
  | 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: 8cfd3d999a97707f9abb7853df083f8ad13d31dcd5c2eccdb189a9e8718ff365

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0051e46a0ba75cef0a23ef89a53be5cb942b445e05c1b13f111fdea050aae44b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-26T09:37:24Z",
    "title_canon_sha256": "469bbee83fe6913cc3b278187fd18505077802a6ae1a328fd31d580d0d077ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07627",
    "kind": "arxiv",
    "version": 1
  }
}