Pith Number

pith:44YBGBQ3

pith:2008:44YBGBQ3HXXXHU5KT622BYE452

not attested not anchored not stored refs pending

The Hijazi inequality on conformally parabolic manifolds

Nadine Gro{\ss}e

arxiv:0804.3878 v4 · 2008-04-24 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44YBGBQ3HXXXHU5KT622BYE452}

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	2026-05-18T04:08:35.068359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e73013061b3def73d3aa9fb5a0e09ceebfffcfb2d7a693ae656b886209eef821

Aliases

arxiv: 0804.3878 · arxiv_version: 0804.3878v4 · doi: 10.48550/arxiv.0804.3878 · pith_short_12: 44YBGBQ3HXXX · pith_short_16: 44YBGBQ3HXXXHU5K · pith_short_8: 44YBGBQ3

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/44YBGBQ3HXXXHU5KT622BYE452 \
  | 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: e73013061b3def73d3aa9fb5a0e09ceebfffcfb2d7a693ae656b886209eef821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8f308342dbc217ade3e8f9a529f8ebeb8467c4a027f11379a1f729101a49bd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-04-24T09:51:57Z",
    "title_canon_sha256": "58e46e96e715e25a8b70d8a4a8f7438270692ae5c3d63dab8ae8d5f1afcbba74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3878",
    "kind": "arxiv",
    "version": 4
  }
}