Pith Number

pith:IXCEM5QD

pith:2016:IXCEM5QDMUS2AQVD4ZB3KJTJ7P

not attested not anchored not stored refs pending

Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications

J. K. Verma, Parangama Sarkar, Shreedevi K. Masuti

arxiv:1603.01841 v1 · 2016-03-06 · 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{IXCEM5QDMUS2AQVD4ZB3KJTJ7P}

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	2026-05-18T01:19:33.527268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c44676036525a042a3e643b52669fbc2a4d56b42595baccd9c2f777cba7045

Aliases

arxiv: 1603.01841 · arxiv_version: 1603.01841v1 · doi: 10.48550/arxiv.1603.01841 · pith_short_12: IXCEM5QDMUS2 · pith_short_16: IXCEM5QDMUS2AQVD · pith_short_8: IXCEM5QD

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/IXCEM5QDMUS2AQVD4ZB3KJTJ7P \
  | 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: 45c44676036525a042a3e643b52669fbc2a4d56b42595baccd9c2f777cba7045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1159c4c9ba8d23bb510e1a993be37e1bdcc61913f87b9fb106dd222e36776d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-03-06T16:32:37Z",
    "title_canon_sha256": "f156aca78de96ff539328e6af6115dd59a236494b7861a7dda6f5259b0d021f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01841",
    "kind": "arxiv",
    "version": 1
  }
}