Pith Number

pith:NYIEY3T5

pith:2013:NYIEY3T5RSKKYMCLFW6WLID5DV

not attested not anchored not stored refs pending

Strong approximation of fractional Sobolev maps

Augusto C. Ponce, Jean Van Schaftingen, Pierre Bousquet

arxiv:1310.6017 v1 · 2013-10-22 · 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{NYIEY3T5RSKKYMCLFW6WLID5DV}

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	2026-05-18T02:28:23.299695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e104c6e7d8c94ac304b2dbd65a07d1d6e5d4e5f03fe31ff397eab5ef743b374

Aliases

arxiv: 1310.6017 · arxiv_version: 1310.6017v1 · doi: 10.48550/arxiv.1310.6017 · pith_short_12: NYIEY3T5RSKK · pith_short_16: NYIEY3T5RSKKYMCL · pith_short_8: NYIEY3T5

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/NYIEY3T5RSKKYMCLFW6WLID5DV \
  | 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: 6e104c6e7d8c94ac304b2dbd65a07d1d6e5d4e5f03fe31ff397eab5ef743b374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8df82a6bf6fbb775847c5d34dc5ca4776aa3100563bae38d2c2ec38fefc4c67c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-22T19:25:57Z",
    "title_canon_sha256": "56762845d50d33a399f01b53310261697c7805c227d98e4757cc03f0a8395c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6017",
    "kind": "arxiv",
    "version": 1
  }
}