Pith Number

pith:44VMOCN7

pith:2006:44VMOCN7QXJCITUINAANSJSULD

not attested not anchored not stored refs pending

Standard monomial bases, moduli of vector bundles, and invariant theory

K. N. Raghavan, P. Sankaran, P. Shukla, V. Lakshmibai

arxiv:math/0604321 v1 · 2006-04-13 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44VMOCN7QXJCITUINAANSJSULD}

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	2026-07-04T14:54:36.292111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72ac709bf85d2244e886800d9265458ff96cbc236caddff87ac45c6484e08af

Aliases

arxiv: math/0604321 · arxiv_version: math/0604321v1 · doi: 10.48550/arxiv.math/0604321 · pith_short_12: 44VMOCN7QXJC · pith_short_16: 44VMOCN7QXJCITUI · pith_short_8: 44VMOCN7

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/44VMOCN7QXJCITUINAANSJSULD \
  | 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: e72ac709bf85d2244e886800d9265458ff96cbc236caddff87ac45c6484e08af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160d1b4572566f3177b85cc3e6da72b20684a27b4c99f9653fe7b7d3acaec135",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-04-13T16:52:13Z",
    "title_canon_sha256": "432ff2b4d7ebe66ce48c7f3a0ee76d3c9ea94992a4ffd7ba82f7b72f91c4f10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604321",
    "kind": "arxiv",
    "version": 1
  }
}