Pith Number

pith:F3AIH4TI

pith:2015:F3AIH4TI37VY3K4E47ARIB3JOM

not attested not anchored not stored refs pending

Behaviour of the Support of Lyubeznik Functors under Ring Extensions

Rajsekhar Bhattacharyya

arxiv:1512.05678 v1 · 2015-12-17 · 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{F3AIH4TI37VY3K4E47ARIB3JOM}

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	2026-05-18T01:24:09.182375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec083f268dfeb8dab84e7c1140769733d00e37db2ec02a655d57fa4ad648e88

Aliases

arxiv: 1512.05678 · arxiv_version: 1512.05678v1 · doi: 10.48550/arxiv.1512.05678 · pith_short_12: F3AIH4TI37VY · pith_short_16: F3AIH4TI37VY3K4E · pith_short_8: F3AIH4TI

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/F3AIH4TI37VY3K4E47ARIB3JOM \
  | 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: 2ec083f268dfeb8dab84e7c1140769733d00e37db2ec02a655d57fa4ad648e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a5bba079ce545fe296c15be4809f5b9883d93287be1d4f975b292d32afb42f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-17T17:24:23Z",
    "title_canon_sha256": "65d680063520f968921869f2847696e9acd3076b45ffa2af7cce8bb80bd186ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05678",
    "kind": "arxiv",
    "version": 1
  }
}