Pith Number

pith:UDTXAHRE

pith:2015:UDTXAHRESIQSHF53XP6VHWNVSC

not attested not anchored not stored refs pending

On Holder-Brascamp-Lieb inequalities for torsion-free discrete Abelian groups

James Demmel, Katherine Yelick, Michael Christ, Nicholas Knight, Thomas Scanlon

arxiv:1510.04190 v1 · 2015-10-14 · math.CA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDTXAHRESIQSHF53XP6VHWNVSC}

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	2026-05-18T01:30:08.977279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e7701e2492212397bbbbfd53d9b5909b0b41489aa4bfab24b90e4adfcb4968

Aliases

arxiv: 1510.04190 · arxiv_version: 1510.04190v1 · doi: 10.48550/arxiv.1510.04190 · pith_short_12: UDTXAHRESIQS · pith_short_16: UDTXAHRESIQSHF53 · pith_short_8: UDTXAHRE

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/UDTXAHRESIQSHF53XP6VHWNVSC \
  | 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: a0e7701e2492212397bbbbfd53d9b5909b0b41489aa4bfab24b90e4adfcb4968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f88c44f3dd1f3959c1b3e91069528629447275816e77dbe58ae45f67d7a5716",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-14T16:30:27Z",
    "title_canon_sha256": "73d13f60005c32c6eea3a1d4e43e4711741a85b806dccd872b61d26c0612b206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04190",
    "kind": "arxiv",
    "version": 1
  }
}