Pith Number

pith:VGRCPGBO

pith:2026:VGRCPGBO3NIKLHHT7EHDOT5CPC

not attested not anchored not stored refs pending

Mixed metric dimension of $2$-connected graphs

Shi Chen, Xuanlong Ma

arxiv:2607.27573 v1 · 2026-07-30 · 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{VGRCPGBO3NIKLHHT7EHDOT5CPC}

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	2026-07-31T01:26:23.456767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a9a227982edb50a59cf3f90e374fa2788f7bff42852f07bc0c7d7727e5918fca

Aliases

arxiv: 2607.27573 · arxiv_version: 2607.27573v1 · doi: 10.48550/arxiv.2607.27573 · pith_short_12: VGRCPGBO3NIK · pith_short_16: VGRCPGBO3NIKLHHT · pith_short_8: VGRCPGBO

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/VGRCPGBO3NIKLHHT7EHDOT5CPC \
  | 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: a9a227982edb50a59cf3f90e374fa2788f7bff42852f07bc0c7d7727e5918fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f71c5ef0bc4f3d169e56a75c112463a922cc7873af0204f847b2b324fc1cbc59",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T01:29:42Z",
    "title_canon_sha256": "eaa0bbb0cafdf038c10af27299ce80d400063cf9663e5f0ad60d32454574cab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27573",
    "kind": "arxiv",
    "version": 1
  }
}