Pith Number

pith:TWQ2BEI3

pith:2017:TWQ2BEI3JGQ6RCJC3PA3AV67BI

not attested not anchored not stored refs pending

Ulam Sequences and Ulam Sets

Noah Kravitz, Stefan Steinerberger

arxiv:1705.01883 v3 · 2017-05-04 · math.CO · cs.DM · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWQ2BEI3JGQ6RCJC3PA3AV67BI}

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	2026-05-18T00:07:18.684047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da1a0911b49a1e88922dbc1b057df0a19a2639f85d63a2e732517f8aa22fc9b

Aliases

arxiv: 1705.01883 · arxiv_version: 1705.01883v3 · doi: 10.48550/arxiv.1705.01883 · pith_short_12: TWQ2BEI3JGQ6 · pith_short_16: TWQ2BEI3JGQ6RCJC · pith_short_8: TWQ2BEI3

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/TWQ2BEI3JGQ6RCJC3PA3AV67BI \
  | 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: 9da1a0911b49a1e88922dbc1b057df0a19a2639f85d63a2e732517f8aa22fc9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8300413a2ff4a18fb48fac32ae05338b0a273a7d8921beca32b662bec52f0a",
    "cross_cats_sorted": [
      "cs.DM",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-04T15:34:47Z",
    "title_canon_sha256": "199598aea4447c610093e8d849f9264d86ff02f87b727b8579c04c21fcb4cb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01883",
    "kind": "arxiv",
    "version": 3
  }
}