Pith Number

pith:FEIFT7UO

pith:2016:FEIFT7UOEM6QB37X3ATUMSZ6SB

not attested not anchored not stored refs pending

Subharmonic solutions of first order Hamiltonian systems with subquadratic condition

Shanshan Tang

arxiv:1612.08161 v1 · 2016-12-24 · 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{FEIFT7UOEM6QB37X3ATUMSZ6SB}

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	2026-05-18T00:54:04.384733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

291059fe8e233d00eff7d827464b3e906ffd89d60c54f6d69c75c77d5bb5318d

Aliases

arxiv: 1612.08161 · arxiv_version: 1612.08161v1 · doi: 10.48550/arxiv.1612.08161 · pith_short_12: FEIFT7UOEM6Q · pith_short_16: FEIFT7UOEM6QB37X · pith_short_8: FEIFT7UO

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/FEIFT7UOEM6QB37X3ATUMSZ6SB \
  | 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: 291059fe8e233d00eff7d827464b3e906ffd89d60c54f6d69c75c77d5bb5318d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6432f4f820197d75a2161e051439b14bac2121c6a79aafad47fdf623e83f40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-24T10:45:03Z",
    "title_canon_sha256": "c6ad9dadf1315f812b963c84d7f86868b9d75a193075ca244507ded134d9665b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08161",
    "kind": "arxiv",
    "version": 1
  }
}