Pith Number

pith:UPEJGF5J

pith:2012:UPEJGF5JQ3LHTEK5NUB27IKJBX

not attested not anchored not stored refs pending

Asymptotic resurgences for ideals of positive dimensional subschemes of projective space

Adam Van Tuyl, Brian Harbourne, Elena Guardo

arxiv:1202.4370 v2 · 2012-02-20 · math.AG · 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{UPEJGF5JQ3LHTEK5NUB27IKJBX}

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	2026-05-18T04:01:03.507638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c89317a986d679915d6d03afa1490dd60986db59593d2215c734d1ead0ea8f

Aliases

arxiv: 1202.4370 · arxiv_version: 1202.4370v2 · doi: 10.48550/arxiv.1202.4370 · pith_short_12: UPEJGF5JQ3LH · pith_short_16: UPEJGF5JQ3LHTEK5 · pith_short_8: UPEJGF5J

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/UPEJGF5JQ3LHTEK5NUB27IKJBX \
  | 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: a3c89317a986d679915d6d03afa1490dd60986db59593d2215c734d1ead0ea8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8fafe507d9a7ddb48b551e60dfab65fa92133581b9cc561442758cc513e978",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-20T16:34:58Z",
    "title_canon_sha256": "a418f17b68dac23113d3191637cd196978375720f3495e9a957e5b56482fbfed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4370",
    "kind": "arxiv",
    "version": 2
  }
}