Pith Number

pith:HEADSHQL

pith:2013:HEADSHQLRG2VXI6A362ACMQBLV

not attested not anchored not stored refs pending

Stability results for some geometric inequalities and their functional versions

Elisabeth M. Werner, Umut Caglar

arxiv:1312.4148 v2 · 2013-12-15 · 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{HEADSHQLRG2VXI6A362ACMQBLV}

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	2026-05-18T01:11:51.953719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3900391e0b89b55ba3c0dfb40132015d45aedc914256f53e9b288d99d28107c5

Aliases

arxiv: 1312.4148 · arxiv_version: 1312.4148v2 · doi: 10.48550/arxiv.1312.4148 · pith_short_12: HEADSHQLRG2V · pith_short_16: HEADSHQLRG2VXI6A · pith_short_8: HEADSHQL

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/HEADSHQLRG2VXI6A362ACMQBLV \
  | 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: 3900391e0b89b55ba3c0dfb40132015d45aedc914256f53e9b288d99d28107c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea3d6d5a1d751d0cb54c33d2826f6c308ede0091849574dae96a637b155739b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-15T13:54:01Z",
    "title_canon_sha256": "5ca5377bf0bb836b76c4ee9923bfdd786901407a24e2d7fceb74bbe7cf4d67d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4148",
    "kind": "arxiv",
    "version": 2
  }
}