Pith Number

pith:SILKID3H

pith:2021:SILKID3HQA2MIYT4RVHOFTRY7K

not attested not anchored not stored refs pending

Incompressible hypersurface, positive scalar curvature and positive mass theorem

Jie Chen, Jintian Zhu, Peng Liu, Yuguang Shi

arxiv:2112.14442 v1 · 2021-12-29 · 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{SILKID3HQA2MIYT4RVHOFTRY7K}

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.

Cited by

2 papers in Pith

Charged parallel spinors and applications to mass--charge inequalities

A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds

Receipt and verification

First computed	2026-07-05T03:44:22.311816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9216a40f678034c4627c8d4ee2ce38fabe7560abea4f12b5d2856b9f3c764d3a

Aliases

arxiv: 2112.14442 · arxiv_version: 2112.14442v1 · doi: 10.48550/arxiv.2112.14442 · pith_short_12: SILKID3HQA2M · pith_short_16: SILKID3HQA2MIYT4 · pith_short_8: SILKID3H

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/SILKID3HQA2MIYT4RVHOFTRY7K \
  | 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: 9216a40f678034c4627c8d4ee2ce38fabe7560abea4f12b5d2856b9f3c764d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f16698660397edbdb54f04409725488d02316b2cce0ba6f9c4aa77d7423f24c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-29T08:07:44Z",
    "title_canon_sha256": "7b21a7e679980083f119db98a338fc860fd2453d1edc2152857c191eb613deed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14442",
    "kind": "arxiv",
    "version": 1
  }
}