Pith Number

pith:FOJL6YB4

pith:2015:FOJL6YB4K6KRK6PKX5PVUZQEC5

not attested not anchored not stored refs pending

Sparse Neural Codes and Convexity

Aleina Wachtel, Mohamed Omar, Natchanon Suaysom, Nora Youngs, R. Amzi Jeffs

arxiv:1511.00283 v1 · 2015-11-01 · 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{FOJL6YB4K6KRK6PKX5PVUZQEC5}

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	2026-05-17T23:45:00.484260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b92bf603c57951579eabf5f5a66041745fe8228d490913b2fac1c401c283a0e

Aliases

arxiv: 1511.00283 · arxiv_version: 1511.00283v1 · doi: 10.48550/arxiv.1511.00283 · pith_short_12: FOJL6YB4K6KR · pith_short_16: FOJL6YB4K6KRK6PK · pith_short_8: FOJL6YB4

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/FOJL6YB4K6KRK6PKX5PVUZQEC5 \
  | 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: 2b92bf603c57951579eabf5f5a66041745fe8228d490913b2fac1c401c283a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ba27012306e831ae83ed47b58d3edc16a2c156b786986ab778112e1395eb12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-01T18:08:24Z",
    "title_canon_sha256": "0272af17cf2b1279b8ef98c71b3428d232152aa7202304da451b97b7e5ef10ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00283",
    "kind": "arxiv",
    "version": 1
  }
}