Pith Number

pith:CIQQ7CDH

pith:2017:CIQQ7CDHGF2MUD7LNTMOXUHF6V

not attested not anchored not stored refs pending

Damped wave equations on compact hyperbolic surfaces

Long Jin

arxiv:1712.02692 v1 · 2017-12-07 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIQQ7CDHGF2MUD7LNTMOXUHF6V}

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	2026-05-18T00:28:33.138027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12210f88673174ca0feb6cd8ebd0e5f56deff7c7ab0c938639f828d30e4037ef

Aliases

arxiv: 1712.02692 · arxiv_version: 1712.02692v1 · doi: 10.48550/arxiv.1712.02692 · pith_short_12: CIQQ7CDHGF2M · pith_short_16: CIQQ7CDHGF2MUD7L · pith_short_8: CIQQ7CDH

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/CIQQ7CDHGF2MUD7LNTMOXUHF6V \
  | 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: 12210f88673174ca0feb6cd8ebd0e5f56deff7c7ab0c938639f828d30e4037ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cd626c145b01f151b18c0fe9386917ec6f77323cf3a8fc554b9ca01228f30c7",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-07T16:14:16Z",
    "title_canon_sha256": "8923c9a806a2259a4c6c9bb1e686355808634d0a57b69b58403d337cecbbd6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02692",
    "kind": "arxiv",
    "version": 1
  }
}