Pith Number

pith:2T6XNBJR

pith:2015:2T6XNBJR5KL2VIZJLKPE65546O

not attested not anchored not stored refs pending

One-way infinite 2-walks in planar graphs

Daniel P. Biebighauser, M. N. Ellingham

arxiv:1508.06982 v1 · 2015-08-27 · 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{2T6XNBJR5KL2VIZJLKPE65546O}

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	2026-05-18T01:34:40.379844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fd768531ea97aaa3295a9e4f77bcf3bcb795060f55f06fc2852e0f9d05eb24

Aliases

arxiv: 1508.06982 · arxiv_version: 1508.06982v1 · doi: 10.48550/arxiv.1508.06982 · pith_short_12: 2T6XNBJR5KL2 · pith_short_16: 2T6XNBJR5KL2VIZJ · pith_short_8: 2T6XNBJR

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/2T6XNBJR5KL2VIZJLKPE65546O \
  | 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: d4fd768531ea97aaa3295a9e4f77bcf3bcb795060f55f06fc2852e0f9d05eb24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7831df188bbc1c0f357c65c03956a3266ac173faafd62b36736f351c9bf4ef00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-27T19:45:52Z",
    "title_canon_sha256": "bc1e1794fedb4e85cf069cc3fb447e91be8cfeab2e163da4f2b825dbdacb267b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06982",
    "kind": "arxiv",
    "version": 1
  }
}