Pith Number

pith:EU4IPV2R

pith:2024:EU4IPV2RXPDQBWL6B22LJZ74IF

not attested not anchored not stored refs pending

Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula

BaoZhi Chu, Yanyan Li, Zongyuan Li

arxiv:2410.16384 v1 · 2024-10-21 · math.AP · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU4IPV2RXPDQBWL6B22LJZ74IF}

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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.

Cited by

1 paper in Pith

A new boundary mass for asymptotically flat half-manifolds

Receipt and verification

First computed	2026-07-05T09:23:35.274862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253887d751bbc700d97e0eb4b4e7fc41408a9bb474b527010fab8a3d22144cd3

Aliases

arxiv: 2410.16384 · arxiv_version: 2410.16384v1 · doi: 10.48550/arxiv.2410.16384 · pith_short_12: EU4IPV2RXPDQ · pith_short_16: EU4IPV2RXPDQBWL6 · pith_short_8: EU4IPV2R

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/EU4IPV2RXPDQBWL6B22LJZ74IF \
  | 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: 253887d751bbc700d97e0eb4b4e7fc41408a9bb474b527010fab8a3d22144cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89c94347f63aa57df5336621142fb97bb6fa8231672ec4ad5ee03348e3b5b08",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-21T18:01:02Z",
    "title_canon_sha256": "21a450fb7e57852523151e924354012a8e437fa21e436bd060537681b192c59f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.16384",
    "kind": "arxiv",
    "version": 1
  }
}