Pith Number

pith:RBJ2HEON

pith:2015:RBJ2HEON66HPZV5M766H5YZ5LP

not attested not anchored not stored refs pending

Subharmonicity of conic Mabuchi's functional, I

Long Li

arxiv:1511.00178 v2 · 2015-10-31 · 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{RBJ2HEON66HPZV5M766H5YZ5LP}

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	2026-05-18T01:19:49.481773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8853a391cdf78efcd7acffbc7ee33d5be7dfd3afeafd0285473ab4230e8f6c5a

Aliases

arxiv: 1511.00178 · arxiv_version: 1511.00178v2 · doi: 10.48550/arxiv.1511.00178 · pith_short_12: RBJ2HEON66HP · pith_short_16: RBJ2HEON66HPZV5M · pith_short_8: RBJ2HEON

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/RBJ2HEON66HPZV5M766H5YZ5LP \
  | 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: 8853a391cdf78efcd7acffbc7ee33d5be7dfd3afeafd0285473ab4230e8f6c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee08a7a68f16e19034a20f3b750bcf84a28d465b0d88d1dd08cf99ff924dca78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-31T21:30:48Z",
    "title_canon_sha256": "c9176c1c6e277ed50c7cf5f1cf62dbcbbbeccde1afb9272c5dc36662fdc980e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00178",
    "kind": "arxiv",
    "version": 2
  }
}