Pith Number

pith:TT26SBRV

pith:2016:TT26SBRVXX4W6SW5RL7SHZM762

not attested not anchored not stored refs pending

Minimal submanifolds in certain types of kaehler product manifold

Bang Xiao, Xingda Liu

arxiv:1612.06500 v2 · 2016-12-20 · 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{TT26SBRVXX4W6SW5RL7SHZM762}

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	2026-05-18T00:53:20.413223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf5e90635bdf96f4add8aff23e59ff6b5831cd57bf6b280c6e0669165b8ac25

Aliases

arxiv: 1612.06500 · arxiv_version: 1612.06500v2 · doi: 10.48550/arxiv.1612.06500 · pith_short_12: TT26SBRVXX4W · pith_short_16: TT26SBRVXX4W6SW5 · pith_short_8: TT26SBRV

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/TT26SBRVXX4W6SW5RL7SHZM762 \
  | 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: 9cf5e90635bdf96f4add8aff23e59ff6b5831cd57bf6b280c6e0669165b8ac25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb048357a410cce27a084a7c141f1a7a708c421acd65f3431d9806872b600588",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-20T04:02:02Z",
    "title_canon_sha256": "ab353028ecd802a77a947d9649bf0ac5c81b7fa5bc5b4eac3be610f9cd4ba25d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06500",
    "kind": "arxiv",
    "version": 2
  }
}