Pith Number

pith:MX5VDXRP

pith:2012:MX5VDXRPAI2P3MDPAK7XJQKJ23

not attested not anchored not stored refs pending

Geometric momentum in the Monge parametrization of two dimensional sphere

D. M. Xun, Q. H. Liu

arxiv:1209.2212 v1 · 2012-09-11 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MX5VDXRPAI2P3MDPAK7XJQKJ23}

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	2026-05-18T03:45:52.540251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65fb51de2f0234fdb06f02bf74c149d6eb599532e44d60e96e355bf35d4d62c9

Aliases

arxiv: 1209.2212 · arxiv_version: 1209.2212v1 · doi: 10.48550/arxiv.1209.2212 · pith_short_12: MX5VDXRPAI2P · pith_short_16: MX5VDXRPAI2P3MDP · pith_short_8: MX5VDXRP

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/MX5VDXRPAI2P3MDPAK7XJQKJ23 \
  | 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: 65fb51de2f0234fdb06f02bf74c149d6eb599532e44d60e96e355bf35d4d62c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e1667e4c9114ba36e45ed89a86d4b4bb2b10840870d46e6c88e3deeb22298f",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-11T03:33:48Z",
    "title_canon_sha256": "e5c63621f44d110ea5ed6903aa952b10a0bb874ba937b5ee7969f7cdaaa29743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2212",
    "kind": "arxiv",
    "version": 1
  }
}