Pith Number

pith:L7XCWCPG

pith:2026:L7XCWCPGNZKUEPRSSPVPM74EFE

not attested not anchored not stored refs pending

Extended Depth-First Representations of $k^2$-trees

Francesco Tosoni, Gabriel Carmona, Giovanni Manzini, Paolo Ferragina

arxiv:2607.28136 v1 · 2026-07-30 · cs.DS · cs.IR · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7XCWCPGNZKUEPRSSPVPM74EFE}

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	2026-07-31T01:35:50.811618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

5fee2b09e66e55423e3293eaf67f84293ef66f95f32a16b7a0e249f3f91c3a10

Aliases

arxiv: 2607.28136 · arxiv_version: 2607.28136v1 · doi: 10.48550/arxiv.2607.28136 · pith_short_12: L7XCWCPGNZKU · pith_short_16: L7XCWCPGNZKUEPRS · pith_short_8: L7XCWCPG

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/L7XCWCPGNZKUEPRSSPVPM74EFE \
  | 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: 5fee2b09e66e55423e3293eaf67f84293ef66f95f32a16b7a0e249f3f91c3a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478d3d9ab802b866ef05d9a199caa1ef659e37a67d09a53d33364b513e175e15",
    "cross_cats_sorted": [
      "cs.IR",
      "cs.PF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-30T12:45:49Z",
    "title_canon_sha256": "fb599aeabf833885a220b60b1ee7b9dad3076b805233bf50508f5a5fea332282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28136",
    "kind": "arxiv",
    "version": 1
  }
}