Pith Number

pith:AH6S4WOF

pith:2014:AH6S4WOFG6WHWZ66PERNUTNBHJ

not attested not anchored not stored refs pending

The shape of extremal functions for Poincar\'e-Sobolev-type inequalities in a ball

Pedro M. Gir\~ao, Tobias Weth

arxiv:1407.0315 v1 · 2014-07-01 · 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{AH6S4WOFG6WHWZ66PERNUTNBHJ}

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	2026-05-18T02:48:34.365504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01fd2e59c537ac7b67de7922da4da13a623d8423cf04cf7b27e7b7cdc7047966

Aliases

arxiv: 1407.0315 · arxiv_version: 1407.0315v1 · doi: 10.48550/arxiv.1407.0315 · pith_short_12: AH6S4WOFG6WH · pith_short_16: AH6S4WOFG6WHWZ66 · pith_short_8: AH6S4WOF

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/AH6S4WOFG6WHWZ66PERNUTNBHJ \
  | 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: 01fd2e59c537ac7b67de7922da4da13a623d8423cf04cf7b27e7b7cdc7047966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97226f0586d568becc95f92be574710edf202641873a8aef1b616cf2938fe1bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-01T16:50:14Z",
    "title_canon_sha256": "acdca9394c01edfc3efa00336a5ac40d4fe6addaaec7051c4caf81242ccf4188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0315",
    "kind": "arxiv",
    "version": 1
  }
}