Pith Number

pith:RUVFPRKZ

pith:2013:RUVFPRKZSAV46F2D3LH4XOC2JQ

not attested not anchored not stored refs pending

Resonance Identities for Closed Characteristics on Compact Star-shaped Hypersurfaces in ${\bf R}^{2n}$

Hui Liu, Wei Wang, Yiming Long

arxiv:1308.3543 v3 · 2013-08-16 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUVFPRKZSAV46F2D3LH4XOC2JQ}

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	2026-05-18T02:56:19.094305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d2a57c559902bcf1743dacfcbb85a4c071ce2a3ee914033b1e6eb6eb1d08b43

Aliases

arxiv: 1308.3543 · arxiv_version: 1308.3543v3 · doi: 10.48550/arxiv.1308.3543 · pith_short_12: RUVFPRKZSAV4 · pith_short_16: RUVFPRKZSAV46F2D · pith_short_8: RUVFPRKZ

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/RUVFPRKZSAV46F2D3LH4XOC2JQ \
  | 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: 8d2a57c559902bcf1743dacfcbb85a4c071ce2a3ee914033b1e6eb6eb1d08b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bbbc88f28b74f2e71dd8fa42a1477f22c59fc97c3a502d4afea893b523bff9a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-08-16T03:51:10Z",
    "title_canon_sha256": "0cb1c4a7574076a9b54c699c1ea80e25d1bc1b50fd7983b83414ea0a8cd52145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3543",
    "kind": "arxiv",
    "version": 3
  }
}