Pith Number

pith:F36V6IC4

pith:2017:F36V6IC45UERBICHYAPS64C2HF

not attested not anchored not stored refs pending

Progressions and Paths in Colorings of $\mathbb Z$

Aaron Berger

arxiv:1706.01579 v1 · 2017-06-06 · 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{F36V6IC45UERBICHYAPS64C2HF}

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	2026-05-18T00:42:56.622376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2efd5f205ced0910a047c01f2f705a3953facc4603d13410608192f280df96dc

Aliases

arxiv: 1706.01579 · arxiv_version: 1706.01579v1 · doi: 10.48550/arxiv.1706.01579 · pith_short_12: F36V6IC45UER · pith_short_16: F36V6IC45UERBICH · pith_short_8: F36V6IC4

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/F36V6IC45UERBICHYAPS64C2HF \
  | 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: 2efd5f205ced0910a047c01f2f705a3953facc4603d13410608192f280df96dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af086ce3cb94bd97396b10c0f8bd1f6d2bf0f9b3d41daff68b52d78b9a67ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-06T01:54:07Z",
    "title_canon_sha256": "4e4320b6cecf147645827c87f3804a06be2b92ee3ed553053ea4937eafb69c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01579",
    "kind": "arxiv",
    "version": 1
  }
}