Pith Number

pith:GZANES2N

pith:2016:GZANES2NJQDGYK6XAM4MQKVVPO

not attested not anchored not stored refs pending

Stability of anti-canonically balanced metrics

Ryosuke Takahashi, Shunsuke Saito

arxiv:1607.05534 v2 · 2016-07-19 · 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{GZANES2NJQDGYK6XAM4MQKVVPO}

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	2026-05-18T00:53:40.158696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3640d24b4d4c066c2bd70338c82ab57bb1134cdb3c8429c74db2b00b6b5c3b6f

Aliases

arxiv: 1607.05534 · arxiv_version: 1607.05534v2 · doi: 10.48550/arxiv.1607.05534 · pith_short_12: GZANES2NJQDG · pith_short_16: GZANES2NJQDGYK6X · pith_short_8: GZANES2N

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/GZANES2NJQDGYK6XAM4MQKVVPO \
  | 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: 3640d24b4d4c066c2bd70338c82ab57bb1134cdb3c8429c74db2b00b6b5c3b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dabb43f72b6ae796c3784879a71cca9a6b408393aa866acb84b008401ff4315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-19T11:51:01Z",
    "title_canon_sha256": "d4f60a3bb55c0bdfaeea3eaa1c621fe8cac58713de1162298eee6fe68636c963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05534",
    "kind": "arxiv",
    "version": 2
  }
}