Pith Number

pith:C325OKHT

pith:2024:C325OKHTUDUCEFT6PSJ5VUGNZW

not attested not anchored not stored refs pending

Stability for a class of three-tori with small negative scalar curvature

Edward Bryden, Lizhi Chen

arxiv:2404.12795 v2 · 2024-04-19 · 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{C325OKHTUDUCEFT6PSJ5VUGNZW}

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	2026-07-05T08:18:51.905608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f5d728f3a0e822167e7c93dad0cdcdaf4e0bdcbfa7296dd58995b3a61f2f8c

Aliases

arxiv: 2404.12795 · arxiv_version: 2404.12795v2 · doi: 10.48550/arxiv.2404.12795 · pith_short_12: C325OKHTUDUC · pith_short_16: C325OKHTUDUCEFT6 · pith_short_8: C325OKHT

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/C325OKHTUDUCEFT6PSJ5VUGNZW \
  | 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: 16f5d728f3a0e822167e7c93dad0cdcdaf4e0bdcbfa7296dd58995b3a61f2f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc22f6a4fa5e8876cf49368c713c5b8ee1b2ee4e7ad67504953aeb425919cda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-04-19T11:18:34Z",
    "title_canon_sha256": "3475206b09da188ced3ff49eabe709a56048246168ab97b69289d3b0365f8c9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.12795",
    "kind": "arxiv",
    "version": 2
  }
}