Pith Number

pith:ZRDF6UPR

pith:2024:ZRDF6UPRKTAMZ4OHEDAH4AXRE2

not attested not anchored not stored refs pending

Resurgence number and convex body associated to pairs of graded families of ideals

Arvind Kumar, A.V. Jayanthan, Tai Huy Ha, Thai Thanh Nguyen

arxiv:2412.04417 v1 · 2024-12-05 · 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{ZRDF6UPRKTAMZ4OHEDAH4AXRE2}

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	2026-06-19T16:12:44.746898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc465f51f154c0ccf1c720c07e02f12687ab1fea8b9562588b455911d919b9c6

Aliases

arxiv: 2412.04417 · arxiv_version: 2412.04417v1 · doi: 10.48550/arxiv.2412.04417 · pith_short_12: ZRDF6UPRKTAM · pith_short_16: ZRDF6UPRKTAMZ4OH · pith_short_8: ZRDF6UPR

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/ZRDF6UPRKTAMZ4OHEDAH4AXRE2 \
  | 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: cc465f51f154c0ccf1c720c07e02f12687ab1fea8b9562588b455911d919b9c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2caf545625e370e4ff14a31a0437ac7661c0da25e3d20a037609fb613c1fa8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-12-05T18:43:12Z",
    "title_canon_sha256": "b9cd0e0279e6b1845d164fd65e73941291f446f892d31f3a03bebf75e16bb0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04417",
    "kind": "arxiv",
    "version": 1
  }
}