Pith Number

pith:T5XGF3KF

pith:2026:T5XGF3KFETXBX4TP4FYAVTY2VZ

not attested not anchored not stored refs pending

Homological $k$-systole in $n$-manifolds with positive intermediate curvature

Han Hong, Jingche Chen

arxiv:2601.12461 v2 · 2026-01-18 · 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{T5XGF3KFETXBX4TP4FYAVTY2VZ}

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	2026-07-09T01:19:50.875645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f6e62ed4524ee1bf26fe1700acf1aae7d6126e7e1317677725d2a360e101b53

Aliases

arxiv: 2601.12461 · arxiv_version: 2601.12461v2 · doi: 10.48550/arxiv.2601.12461 · pith_short_12: T5XGF3KFETXB · pith_short_16: T5XGF3KFETXBX4TP · pith_short_8: T5XGF3KF

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/T5XGF3KFETXBX4TP4FYAVTY2VZ \
  | 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: 9f6e62ed4524ee1bf26fe1700acf1aae7d6126e7e1317677725d2a360e101b53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f50cb9f6212a7be86de6f33a33e5fc7dadeebe47bc1f9107a9c522f98e02bc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-01-18T15:50:02Z",
    "title_canon_sha256": "d912866a7e40973999f07fd5de0bc2ae4ba0d5c6c790fb5b33144e5214645dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.12461",
    "kind": "arxiv",
    "version": 2
  }
}