Pith Number

pith:VCP3NR23

pith:2009:VCP3NR23XLPM7CA53RBGPG7AJT

not attested not anchored not stored refs pending

On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model

A. M. Grundland, I. Yurdusen

arxiv:0905.2556 v1 · 2009-05-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCP3NR23XLPM7CA53RBGPG7AJT}

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	2026-05-18T02:13:39.217713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89fb6c75bbadecf881ddc42679be04cdbb7b49dcefd96250631a2c444aae9e1

Aliases

arxiv: 0905.2556 · arxiv_version: 0905.2556v1 · doi: 10.48550/arxiv.0905.2556 · pith_short_12: VCP3NR23XLPM · pith_short_16: VCP3NR23XLPM7CA5 · pith_short_8: VCP3NR23

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/VCP3NR23XLPM7CA53RBGPG7AJT \
  | 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: a89fb6c75bbadecf881ddc42679be04cdbb7b49dcefd96250631a2c444aae9e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3412a9bf37992e9ea515b2f5f67a049482411ee473a31ad2bfccdc42c9b7d87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-05-15T14:34:21Z",
    "title_canon_sha256": "e0ec71b4be47be199e56b8f101a501c0e1270949f4634a7a0a3d424fb7d2887a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2556",
    "kind": "arxiv",
    "version": 1
  }
}