Pith Number

pith:52UEDWQU

pith:2015:52UEDWQU62JITFWBHK4VPEL6KW

not attested not anchored not stored refs pending

Monotonicity formulas of eigenvalues and energy functionals along the rescaled List's extended Ricci flow

Guangyue Huang, Zhi Li

arxiv:1511.08529 v1 · 2015-11-27 · 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{52UEDWQU62JITFWBHK4VPEL6KW}

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	2026-05-18T01:25:53.869473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eea841da14f6928996c13ab957917e558b8e21ce5efafb249443b2ca48ae2b33

Aliases

arxiv: 1511.08529 · arxiv_version: 1511.08529v1 · doi: 10.48550/arxiv.1511.08529 · pith_short_12: 52UEDWQU62JI · pith_short_16: 52UEDWQU62JITFWB · pith_short_8: 52UEDWQU

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/52UEDWQU62JITFWBHK4VPEL6KW \
  | 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: eea841da14f6928996c13ab957917e558b8e21ce5efafb249443b2ca48ae2b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c96f953990862e01eb44571f23845ca41176510a1685ac7d8a5811d3599a928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-27T00:04:54Z",
    "title_canon_sha256": "711c7724c7b1a1b60baa873e066f5122e1f23a2c5f04b59196649f7a5b9af7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08529",
    "kind": "arxiv",
    "version": 1
  }
}