Pith Number

pith:RDDJACCB

pith:2012:RDDJACCBPIJTPXN7FXVX64IETZ

not attested not anchored not stored refs pending

Sharp constants in weighted trace inequalities on Riemannian manifolds

Jingang Xiong, Tianling Jin

arxiv:1203.1003 v1 · 2012-03-05 · 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{RDDJACCBPIJTPXN7FXVX64IETZ}

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	2026-05-18T03:39:53.040311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88c69008417a1337ddbf2deb7f71049e75e367677639ec30d03eb8b4f363d483

Aliases

arxiv: 1203.1003 · arxiv_version: 1203.1003v1 · doi: 10.48550/arxiv.1203.1003 · pith_short_12: RDDJACCBPIJT · pith_short_16: RDDJACCBPIJTPXN7 · pith_short_8: RDDJACCB

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/RDDJACCBPIJTPXN7FXVX64IETZ \
  | 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: 88c69008417a1337ddbf2deb7f71049e75e367677639ec30d03eb8b4f363d483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b67096f89099c271ac7ad902a630878e13b81b44e60d321bd001dc0b83a436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-05T18:38:59Z",
    "title_canon_sha256": "e667df7b0fb8a178004bc65b0aca020d592a4150b9445b9d821d2fca19de0526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1003",
    "kind": "arxiv",
    "version": 1
  }
}