Pith Number

pith:RL4DPJXW

pith:2011:RL4DPJXWYGXPJODOM6VMX2LA5C

not attested not anchored not stored refs pending

Estimates for F-jumping numbers and bounds for Hartshorne-Speiser-Lyubeznik numbers

Mircea Mustata, Wenliang Zhang

arxiv:1110.5687 v2 · 2011-10-26 · 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{RL4DPJXWYGXPJODOM6VMX2LA5C}

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	2026-05-18T02:29:25.528295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8af837a6f6c1aef4b86e67aacbe960e8a53cc2c226f0c364cb0a8fab5c1a94f4

Aliases

arxiv: 1110.5687 · arxiv_version: 1110.5687v2 · doi: 10.48550/arxiv.1110.5687 · pith_short_12: RL4DPJXWYGXP · pith_short_16: RL4DPJXWYGXPJODO · pith_short_8: RL4DPJXW

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/RL4DPJXWYGXPJODOM6VMX2LA5C \
  | 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: 8af837a6f6c1aef4b86e67aacbe960e8a53cc2c226f0c364cb0a8fab5c1a94f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed7d41df858e8bde2563e299d64fba2b98cedff5da36110603e649d3e8489d69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-26T00:19:53Z",
    "title_canon_sha256": "6bf7bf99beff58050df7d7ff7989578cfbf3508c9713e116e704e6fa8274bbcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5687",
    "kind": "arxiv",
    "version": 2
  }
}