Pith Number

pith:ZYSUDJMV

pith:2016:ZYSUDJMVM5NDBJPOJRYAUJ4ZQU

not attested not anchored not stored refs pending

Some functionals on compact manifolds with boundary

Luen-fai Tam, Pengzi Miao

arxiv:1602.06616 v1 · 2016-02-22 · 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{ZYSUDJMVM5NDBJPOJRYAUJ4ZQU}

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	2026-05-18T01:20:13.518081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2541a595675a30a5ee4c700a2799852fb8f3a5091aa4e5da845e84a39896dd

Aliases

arxiv: 1602.06616 · arxiv_version: 1602.06616v1 · doi: 10.48550/arxiv.1602.06616 · pith_short_12: ZYSUDJMVM5ND · pith_short_16: ZYSUDJMVM5NDBJPO · pith_short_8: ZYSUDJMV

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/ZYSUDJMVM5NDBJPOJRYAUJ4ZQU \
  | 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: ce2541a595675a30a5ee4c700a2799852fb8f3a5091aa4e5da845e84a39896dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be39a70155599131e7e03350236d7a3055e09ddf07f50d67c80bfc8ce3d3730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-02-22T01:04:52Z",
    "title_canon_sha256": "a4153c4aa64ff79c491df22212eba2529404c3b616a481d9800164ab846bfb28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06616",
    "kind": "arxiv",
    "version": 1
  }
}