Pith Number

pith:HA2JJ3XK

pith:2015:HA2JJ3XKPQGN4UD7ZSFI556ZZA

not attested not anchored not stored refs pending

Fundamental invariants of orbit closures

Christian Ikenmeyer, Peter B\"urgisser

arxiv:1511.02927 v2 · 2015-11-09 · math.AG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HA2JJ3XKPQGN4UD7ZSFI556ZZA}

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	2026-05-18T01:25:25.991185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

383494eeea7c0cde507fcc8a8ef7d9c82944c75ac3229a798712f09d25627699

Aliases

arxiv: 1511.02927 · arxiv_version: 1511.02927v2 · doi: 10.48550/arxiv.1511.02927 · pith_short_12: HA2JJ3XKPQGN · pith_short_16: HA2JJ3XKPQGN4UD7 · pith_short_8: HA2JJ3XK

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/HA2JJ3XKPQGN4UD7ZSFI556ZZA \
  | 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: 383494eeea7c0cde507fcc8a8ef7d9c82944c75ac3229a798712f09d25627699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "299e445ffe2c0ba2440870ee437ddc671a64e8ee62fefa1dd348b4adab59d563",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-09T23:30:56Z",
    "title_canon_sha256": "1517e209c09042a28b331e806da45479e595a3d82f3fd21e99147b39b2062d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02927",
    "kind": "arxiv",
    "version": 2
  }
}