Pith Number

pith:TMHQJM63

pith:2021:TMHQJM63Q32DTFNE3YOZS6TMW7

not attested not anchored not stored refs pending

Periodic solutions to Klein-Gordon systems with linear couplings

Guijuan Chang, Jianyi Chen, Jing Zhao, Zhitao Zhang

arxiv:2101.05937 v1 · 2021-01-15 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMHQJM63Q32DTFNE3YOZS6TMW7}

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	2026-07-05T02:07:07.908052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0f04b3db86f43995a4de1d997a6cb7c3b64f9db8a0477e62fb438538474e25

Aliases

arxiv: 2101.05937 · arxiv_version: 2101.05937v1 · doi: 10.48550/arxiv.2101.05937 · pith_short_12: TMHQJM63Q32D · pith_short_16: TMHQJM63Q32DTFNE · pith_short_8: TMHQJM63

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/TMHQJM63Q32DTFNE3YOZS6TMW7 \
  | 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: 9b0f04b3db86f43995a4de1d997a6cb7c3b64f9db8a0477e62fb438538474e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f595ffc27983939c6f0a7be6c58148ee13e42c6fffe2ba7fe8492dc5b5b83150",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-01-15T02:20:12Z",
    "title_canon_sha256": "a77013b632c9a8a0c486850b1763b48e0254e1b20eddf7017439056abb3720be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05937",
    "kind": "arxiv",
    "version": 1
  }
}