Pith Number

pith:IPHUM2TW

pith:2019:IPHUM2TWL7TTACHY3R5DP6S25A

not attested not anchored not stored refs pending

Slow Fibonacci Walks

Fan Chung, Ron Graham, Sam Spiro

arxiv:1903.08274 v1 · 2019-03-19 · math.NT · 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{IPHUM2TWL7TTACHY3R5DP6S25A}

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	2026-05-17T23:50:49.826557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43cf466a765fe73008f8dc7a37fa5ae8335fb196b5891942c60254e86b9a1d5e

Aliases

arxiv: 1903.08274 · arxiv_version: 1903.08274v1 · doi: 10.48550/arxiv.1903.08274 · pith_short_12: IPHUM2TWL7TT · pith_short_16: IPHUM2TWL7TTACHY · pith_short_8: IPHUM2TW

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/IPHUM2TWL7TTACHY3R5DP6S25A \
  | 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: 43cf466a765fe73008f8dc7a37fa5ae8335fb196b5891942c60254e86b9a1d5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28dfa25e9ecf7d363009d84ea2439ef74e21ef7724a404a153c738c458a3dec8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-03-19T22:23:26Z",
    "title_canon_sha256": "af3809d5489a290fa2926e173c1ad98843de86ace7c208b91a2f5df9b4261f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08274",
    "kind": "arxiv",
    "version": 1
  }
}