Pith Number

pith:M76W5TEC

pith:2015:M76W5TECVBVRYQQGVWLDKSWQIL

not attested not anchored not stored refs pending

Obstructions to convexity in neural codes

Anne Shiu, Caitlin Lienkaemper, Zev Woodstock

arxiv:1509.03328 v2 · 2015-09-10 · q-bio.NC · 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{M76W5TECVBVRYQQGVWLDKSWQIL}

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	2026-05-18T00:54:48.164553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fd6ecc82a86b1c4206ad96354ad042d08e3919f8382d02bb1847e2d0b7515c

Aliases

arxiv: 1509.03328 · arxiv_version: 1509.03328v2 · doi: 10.48550/arxiv.1509.03328 · pith_short_12: M76W5TECVBVR · pith_short_16: M76W5TECVBVRYQQG · pith_short_8: M76W5TEC

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/M76W5TECVBVRYQQGVWLDKSWQIL \
  | 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: 67fd6ecc82a86b1c4206ad96354ad042d08e3919f8382d02bb1847e2d0b7515c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b790910fb0d845da085d641c06cd67752fd11161c6f400db2d78b2637ebbe79",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2015-09-10T20:33:19Z",
    "title_canon_sha256": "c5747f428f4dd48fb7a788f8084515007d14304eb9242dcb8a06ec8dd08d364a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03328",
    "kind": "arxiv",
    "version": 2
  }
}