Pith Number

pith:CES6SKQU

pith:2010:CES6SKQU4WPAIJFOAGZLSFWBJ7

not attested not anchored not stored refs pending

The Symmetric Algebra for Certain Monomial Curves

Debasish Mukhopadhyay

arxiv:1002.3439 v3 · 2010-02-18 · 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{CES6SKQU4WPAIJFOAGZLSFWBJ7}

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	2026-05-18T04:31:51.180365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1125e92a14e59e0424ae01b2b916c14fde16dd79d19041b4b87708711005bd3e

Aliases

arxiv: 1002.3439 · arxiv_version: 1002.3439v3 · doi: 10.48550/arxiv.1002.3439 · pith_short_12: CES6SKQU4WPA · pith_short_16: CES6SKQU4WPAIJFO · pith_short_8: CES6SKQU

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/CES6SKQU4WPAIJFOAGZLSFWBJ7 \
  | 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: 1125e92a14e59e0424ae01b2b916c14fde16dd79d19041b4b87708711005bd3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be54af6522554c51c492f9557b1c0759c920412c6d547d35ea0eb1688ec654db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-02-18T07:47:32Z",
    "title_canon_sha256": "e3312afb810e890dd64f1e47cf9dad7a5cbb516366931bee83264365c7e9f99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3439",
    "kind": "arxiv",
    "version": 3
  }
}