Pith Number

pith:CPR3D53E

pith:2015:CPR3D53EOG5JNQEQN5QZXKPDSS

not attested not anchored not stored refs pending

Asymptotic slopes of the Aubin-Yau functional and calculation of the Donaldson-Futaki invariant

Daniel Rubin

arxiv:1502.05463 v2 · 2015-02-19 · math.DG · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPR3D53EOG5JNQEQN5QZXKPDSS}

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	2026-05-18T00:39:40.856276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e3b1f76471ba96c0906f619ba9e3948cdd470cdad8a979b8a7e83358458858

Aliases

arxiv: 1502.05463 · arxiv_version: 1502.05463v2 · doi: 10.48550/arxiv.1502.05463 · pith_short_12: CPR3D53EOG5J · pith_short_16: CPR3D53EOG5JNQEQ · pith_short_8: CPR3D53E

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/CPR3D53EOG5JNQEQN5QZXKPDSS \
  | 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: 13e3b1f76471ba96c0906f619ba9e3948cdd470cdad8a979b8a7e83358458858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0937c35fcbcc7047ed85a91dbe39f9ec9be3c0b47b28a314c274c4f8690c273a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-19T04:29:54Z",
    "title_canon_sha256": "066a29af8ef1db2bebdc4843e1037372cf878434a05d6fc48c8111744fa019ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05463",
    "kind": "arxiv",
    "version": 2
  }
}