Pith Number

pith:VR4SGFVC

pith:2008:VR4SGFVCTHT2VB3GQO5NIFXU42

not attested not anchored not stored refs pending

An analogue of the Narasimhan-Seshadri theorem and some applications

A.J. Parameswaran, V. Balaji

arxiv:0809.3765 v3 · 2008-09-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VR4SGFVCTHT2VB3GQO5NIFXU42}

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	2026-05-18T02:58:11.163788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac792316a299e7aa876683bad416f4e6b57111269a044e8ea521c339d6bc0f71

Aliases

arxiv: 0809.3765 · arxiv_version: 0809.3765v3 · doi: 10.48550/arxiv.0809.3765 · pith_short_12: VR4SGFVCTHT2 · pith_short_16: VR4SGFVCTHT2VB3G · pith_short_8: VR4SGFVC

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/VR4SGFVCTHT2VB3GQO5NIFXU42 \
  | 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: ac792316a299e7aa876683bad416f4e6b57111269a044e8ea521c339d6bc0f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72a647c4217c9b416c1f80d05e12e0451bfb9049f4adaed366e10ca53d19f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-09-22T18:53:22Z",
    "title_canon_sha256": "a79b243fb953a8396ec98dd1f91cb6ebffb63837dedc7aa37025e5b17c92e50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3765",
    "kind": "arxiv",
    "version": 3
  }
}