Pith Number

pith:LCEV5CST

pith:2022:LCEV5CSTINRXH53OLSHGKS5BIR

not attested not anchored not stored refs pending

Duality for asymptotic invariants of graded families

Alexandra Seceleanu, Michael DiPasquale, Thai Thanh Nguyen

arxiv:2208.11110 v1 · 2022-08-23 · math.AC · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCEV5CSTINRXH53OLSHGKS5BIR}

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	2026-06-19T16:12:43.587363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58895e8a53436373f76e5c8e654ba14460a0730a48d4b66fd22863ce14616b57

Aliases

arxiv: 2208.11110 · arxiv_version: 2208.11110v1 · doi: 10.48550/arxiv.2208.11110 · pith_short_12: LCEV5CSTINRX · pith_short_16: LCEV5CSTINRXH53O · pith_short_8: LCEV5CST

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/LCEV5CSTINRXH53OLSHGKS5BIR \
  | 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: 58895e8a53436373f76e5c8e654ba14460a0730a48d4b66fd22863ce14616b57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a0ec6280d6c8817cc3df8df94bf3b2d0bad6b8ac1c3f088ebf27275844c74e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-08-23T17:51:41Z",
    "title_canon_sha256": "08264710993db99fc280e7ae9b14b54c5531a93740cec32d683eae2e483b48ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.11110",
    "kind": "arxiv",
    "version": 1
  }
}