Pith Number

pith:I6LCXQUS

pith:2018:I6LCXQUSFAWSCKQ2EQRVBVMVCQ

not attested not anchored not stored refs pending

Symmetric-adjoint and symplectic-adjoint methods and their applications

Geng Sun, Hongyu Liu, Siqing Gan, Zaijiu Shang

arxiv:1808.05548 v1 · 2018-08-16 · math.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6LCXQUSFAWSCKQ2EQRVBVMVCQ}

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	2026-05-18T00:07:56.702197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47962bc292282d212a1a242350d59514029106c0d5eb7375bce94ab10d214bc1

Aliases

arxiv: 1808.05548 · arxiv_version: 1808.05548v1 · doi: 10.48550/arxiv.1808.05548 · pith_short_12: I6LCXQUSFAWS · pith_short_16: I6LCXQUSFAWSCKQ2 · pith_short_8: I6LCXQUS

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/I6LCXQUSFAWSCKQ2EQRVBVMVCQ \
  | 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: 47962bc292282d212a1a242350d59514029106c0d5eb7375bce94ab10d214bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4930baeeef15b80243faa4b1d055ba59701b204030dccd8dedff01bf98e63d8c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-16T15:44:59Z",
    "title_canon_sha256": "b932aa4b668bc09aa851b8a185a505ffbffa26fab2877873ae7898dd3562d2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05548",
    "kind": "arxiv",
    "version": 1
  }
}