Pith Number

pith:UMA43ETQ

pith:2015:UMA43ETQWZ3J2I44POXO2XTLEE

not attested not anchored not stored refs pending

A rigidity theorem of $\xi$-submanifolds in $\mathbb{C}^{2}$

Xingxiao Li, Xiufen Chang

arxiv:1511.02568 v1 · 2015-11-09 · 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{UMA43ETQWZ3J2I44POXO2XTLEE}

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	2026-05-18T01:27:29.927366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a301cd9270b6769d239c7baeed5e6b2118defec3e41635d8b8e1db73b8e5cb9b

Aliases

arxiv: 1511.02568 · arxiv_version: 1511.02568v1 · doi: 10.48550/arxiv.1511.02568 · pith_short_12: UMA43ETQWZ3J · pith_short_16: UMA43ETQWZ3J2I44 · pith_short_8: UMA43ETQ

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/UMA43ETQWZ3J2I44POXO2XTLEE \
  | 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: a301cd9270b6769d239c7baeed5e6b2118defec3e41635d8b8e1db73b8e5cb9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59791ce84a42347b2faa51dd72cfa046656efeb148c8fab012a5bd32c4ed6506",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-09T05:06:55Z",
    "title_canon_sha256": "e9b1ab1568d509c44334588ceb7e30e4d0b83624251312a8e4a512947289ac7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02568",
    "kind": "arxiv",
    "version": 1
  }
}