Pith Number

pith:HJS2MI6A

pith:2015:HJS2MI6AS3WSTQQZH2C7O3PWSQ

not attested not anchored not stored refs pending

How permutations displace points and stretch intervals

Daniel Daly, Petr Vojt\v{e}chovsk\'y

arxiv:1509.05649 v1 · 2015-09-18 · 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{HJS2MI6AS3WSTQQZH2C7O3PWSQ}

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	2026-05-18T01:32:42.692857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a65a623c096ed29c2193e85f76df69431e5dfc87d6736d09974e08f51f0d16b

Aliases

arxiv: 1509.05649 · arxiv_version: 1509.05649v1 · doi: 10.48550/arxiv.1509.05649 · pith_short_12: HJS2MI6AS3WS · pith_short_16: HJS2MI6AS3WSTQQZ · pith_short_8: HJS2MI6A

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/HJS2MI6AS3WSTQQZH2C7O3PWSQ \
  | 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: 3a65a623c096ed29c2193e85f76df69431e5dfc87d6736d09974e08f51f0d16b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a503aec891f483481ec4a97364742e5fe15bdeba45db40f0343c421a24d263f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-18T15:05:14Z",
    "title_canon_sha256": "1bdd5a7e046d57bb5c36157362491ba396de0a15126eef4a2a010599ef5549ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05649",
    "kind": "arxiv",
    "version": 1
  }
}