Pith Number

pith:EXNMRCHQ

pith:2010:EXNMRCHQJ23JF222MPJTGNPOLZ

not attested not anchored not stored refs pending

Some comparison theorems for Kahler manifolds

Chengjie Yu, Luen-fai Tam

arxiv:1007.1498 v2 · 2010-07-09 · 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{EXNMRCHQJ23JF222MPJTGNPOLZ}

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	2026-05-18T04:39:38.705972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25dac888f04eb692eb5a63d33335ee5e6d1fc4f901ab3e812bb22327dca9f78c

Aliases

arxiv: 1007.1498 · arxiv_version: 1007.1498v2 · doi: 10.48550/arxiv.1007.1498 · pith_short_12: EXNMRCHQJ23J · pith_short_16: EXNMRCHQJ23JF222 · pith_short_8: EXNMRCHQ

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/EXNMRCHQJ23JF222MPJTGNPOLZ \
  | 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: 25dac888f04eb692eb5a63d33335ee5e6d1fc4f901ab3e812bb22327dca9f78c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d7bacbf80d99ce2c08386a08b72fbb817834d07804b4697ed06003637c449d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-07-09T02:41:01Z",
    "title_canon_sha256": "37b495b68f137a2dabf23a7abae4e3f3ee533edc9e7a41ecbaad32582e04bddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1498",
    "kind": "arxiv",
    "version": 2
  }
}