Pith Number

pith:7TLH4GXP

pith:2017:7TLH4GXPH4C5UMIBLJKW36TAOX

not attested not anchored not stored refs pending

Bounds on metric dimension for families of planar graphs

Carl Joshua Quines, Michael Sun

arxiv:1704.04066 v1 · 2017-04-13 · 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{7TLH4GXPH4C5UMIBLJKW36TAOX}

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	2026-05-18T00:46:25.481572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd67e1aef3f05da31015a556dfa6075e820347d21dff9a691f91b36169f2d15

Aliases

arxiv: 1704.04066 · arxiv_version: 1704.04066v1 · doi: 10.48550/arxiv.1704.04066 · pith_short_12: 7TLH4GXPH4C5 · pith_short_16: 7TLH4GXPH4C5UMIB · pith_short_8: 7TLH4GXP

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/7TLH4GXPH4C5UMIBLJKW36TAOX \
  | 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: fcd67e1aef3f05da31015a556dfa6075e820347d21dff9a691f91b36169f2d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe86a13cfa6f535d436abfc785ad72346db0238c6ea4d84afb60b164ebbfde0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-13T10:54:27Z",
    "title_canon_sha256": "9154e85d9a14ddaf5c3620e0fbdc5352805003b8ff89c4cefc3cf778a5e21bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04066",
    "kind": "arxiv",
    "version": 1
  }
}