Pith Number

pith:ADYR2M3D

pith:2026:ADYR2M3DYFQSFK7G7KESGRUQ7A

not attested not anchored not stored refs pending

Perverse filtration on Hilbert schemes via upward flow

Filip \v{Z}ivanovi\'c

arxiv:2606.06449 v1 · 2026-06-04 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADYR2M3DYFQSFK7G7KESGRUQ7A}

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	2026-06-05T01:15:45.879433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f11d3363c16122abe6fa89234690f80553c0d77eed5682f0ad597d2bb9ac17

Aliases

arxiv: 2606.06449 · arxiv_version: 2606.06449v1 · doi: 10.48550/arxiv.2606.06449 · pith_short_12: ADYR2M3DYFQS · pith_short_16: ADYR2M3DYFQSFK7G · pith_short_8: ADYR2M3D

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/ADYR2M3DYFQSFK7G7KESGRUQ7A \
  | 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: 00f11d3363c16122abe6fa89234690f80553c0d77eed5682f0ad597d2bb9ac17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6d821272c678f5f1fe68e1aeb8ed0df0331b1d59229c343bb17342b99bff37f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-04T17:44:50Z",
    "title_canon_sha256": "89dde87438956943da277913d441d5ecebe133693ab0cdc24ffdb9c2aaf24815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06449",
    "kind": "arxiv",
    "version": 1
  }
}