Pith Number

pith:VTJC4JV5

pith:2017:VTJC4JV5JQ26HXGPMFJOEYSSC6

not attested not anchored not stored refs pending

Specifying a positive threshold function via extremal points

Elena Zamaraeva, Igor Razgon, Nikolai Yu. Zolotykh, Vadim Lozin, Viktor Zamaraev

arxiv:1706.01747 v1 · 2017-06-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTJC4JV5JQ26HXGPMFJOEYSSC6}

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	2026-05-18T00:42:56.075058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd22e26bd4c35e3dccf6152e2625217906921a3ef84dda38dcaebb58953571f

Aliases

arxiv: 1706.01747 · arxiv_version: 1706.01747v1 · doi: 10.48550/arxiv.1706.01747 · pith_short_12: VTJC4JV5JQ26 · pith_short_16: VTJC4JV5JQ26HXGP · pith_short_8: VTJC4JV5

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/VTJC4JV5JQ26HXGPMFJOEYSSC6 \
  | 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: acd22e26bd4c35e3dccf6152e2625217906921a3ef84dda38dcaebb58953571f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae8dee7eb1aafa339987f634e8a89eb5996685d2156a261ecf8f894a27b8f081",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-06T13:25:37Z",
    "title_canon_sha256": "fa77cbb35c350e345cb73c54868be40a5882295752dccfcc0ec4d6e02636724e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01747",
    "kind": "arxiv",
    "version": 1
  }
}