Pith Number

pith:NAVLQSH3

pith:2016:NAVLQSH353N2O2PMBRXJTH5X2V

not attested not anchored not stored refs pending

Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space

Xiaomeng Li, Yunyan Yang

arxiv:1612.08247 v1 · 2016-12-25 · 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{NAVLQSH353N2O2PMBRXJTH5X2V}

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	2026-05-18T00:53:57.164224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682ab848fbeedba769ec0c6e999fb7d54c208a90662581312f48a16d9992116e

Aliases

arxiv: 1612.08247 · arxiv_version: 1612.08247v1 · doi: 10.48550/arxiv.1612.08247 · pith_short_12: NAVLQSH353N2 · pith_short_16: NAVLQSH353N2O2PM · pith_short_8: NAVLQSH3

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/NAVLQSH353N2O2PMBRXJTH5X2V \
  | 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: 682ab848fbeedba769ec0c6e999fb7d54c208a90662581312f48a16d9992116e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2168d10cdaff9ba460c225ed4d8d150037debf70e9310ca5bfa77d3f9f6e36d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-25T08:11:04Z",
    "title_canon_sha256": "8e0184a5875045a426b38ee45be1980a0cbd1f53c194eb2b3807baaf85cc78bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08247",
    "kind": "arxiv",
    "version": 1
  }
}