Pith Number

pith:RCXOXAGU

pith:2010:RCXOXAGURHII2XSYP3QCXMTSRL

not attested not anchored not stored refs pending

Symmetrical Symplectic Capacity with Applications

Chungen Liu, Qi Wang

arxiv:1011.5291 v1 · 2010-11-24 · 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{RCXOXAGURHII2XSYP3QCXMTSRL}

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	2026-05-18T04:34:47.617651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88aeeb80d489d08d5e587ee02bb2728ac4ae5922e2981c5fd11bd8b2a7dfe292

Aliases

arxiv: 1011.5291 · arxiv_version: 1011.5291v1 · doi: 10.48550/arxiv.1011.5291 · pith_short_12: RCXOXAGURHII · pith_short_16: RCXOXAGURHII2XSY · pith_short_8: RCXOXAGU

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/RCXOXAGURHII2XSYP3QCXMTSRL \
  | 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: 88aeeb80d489d08d5e587ee02bb2728ac4ae5922e2981c5fd11bd8b2a7dfe292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "746e91c2f88e97681fbad1de45871e002a34c4aef5155461b66675956bc0a957",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-11-24T04:26:58Z",
    "title_canon_sha256": "402d4bb9716ed2b361b047fc02e60751bc75428143fdb72ff46e80c7f086edea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5291",
    "kind": "arxiv",
    "version": 1
  }
}