Pith Number

pith:QU2F4VDD

pith:2026:QU2F4VDDCQ2CZ2LB6QHAKXUQ3L

not attested not anchored not stored refs pending

Reversed inequality of the Herbst-type and the related Euler-Lagrange system

Tiantian Zhou, Yutian Lei

arxiv:2607.05928 v1 · 2026-07-07 · 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{QU2F4VDDCQ2CZ2LB6QHAKXUQ3L}

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	2026-07-08T01:18:50.534116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85345e546314342ce961f40e055e90daf0fe971c562020d842a0214acff53c17

Aliases

arxiv: 2607.05928 · arxiv_version: 2607.05928v1 · doi: 10.48550/arxiv.2607.05928 · pith_short_12: QU2F4VDDCQ2C · pith_short_16: QU2F4VDDCQ2CZ2LB · pith_short_8: QU2F4VDD

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/QU2F4VDDCQ2CZ2LB6QHAKXUQ3L \
  | 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: 85345e546314342ce961f40e055e90daf0fe971c562020d842a0214acff53c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f448f0a5f6fc46fef270c40120cc5ae3c4dca9ccf2c8aaf2d5cc2364a702c48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-07T07:31:08Z",
    "title_canon_sha256": "257487a1a01d7fdc106fd226624103538ed66d0c9ad1c2f378180ac8b8134068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05928",
    "kind": "arxiv",
    "version": 1
  }
}