Pith Number

pith:ZRG2EHC7

pith:2016:ZRG2EHC7P5FXRIADKQL426G23J

not attested not anchored not stored refs pending

Postulation and reduction vectors of multigraded filtrations of ideals

J. K. Verma, Parangama Sarkar

arxiv:1601.05622 v1 · 2016-01-21 · 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{ZRG2EHC7P5FXRIADKQL426G23J}

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	2026-05-18T01:22:13.360404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4da21c5f7f4b78a0035417cd78dada65519d249356beb0b22e2e76c7b642b0

Aliases

arxiv: 1601.05622 · arxiv_version: 1601.05622v1 · doi: 10.48550/arxiv.1601.05622 · pith_short_12: ZRG2EHC7P5FX · pith_short_16: ZRG2EHC7P5FXRIAD · pith_short_8: ZRG2EHC7

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/ZRG2EHC7P5FXRIADKQL426G23J \
  | 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: cc4da21c5f7f4b78a0035417cd78dada65519d249356beb0b22e2e76c7b642b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8ed99d07bf5c520fc0f819ace1d954e2b17468dd4d78e38a47501344b322e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-21T13:21:48Z",
    "title_canon_sha256": "a9e63c733b1ccdb49b0facee43620ffffad2c7ec73ed67f0740f810abbeea362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05622",
    "kind": "arxiv",
    "version": 1
  }
}