Pith Number

pith:MI5GTI4V

pith:2011:MI5GTI4VNUNWIDVMZEIZJA7H6E

not attested not anchored not stored refs pending

Periodic body-and-bar frameworks

Ciprian S. Borcea, Ileana Streinu, Shin-ichi Tanigawa

arxiv:1110.4660 v1 · 2011-10-20 · math.MG · 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{MI5GTI4VNUNWIDVMZEIZJA7H6E}

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	2026-05-18T04:10:35.453133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623a69a3956d1b640eacc9119483e7f12c174f23c0e0e1d2c683545a2185a3b1

Aliases

arxiv: 1110.4660 · arxiv_version: 1110.4660v1 · doi: 10.48550/arxiv.1110.4660 · pith_short_12: MI5GTI4VNUNW · pith_short_16: MI5GTI4VNUNWIDVM · pith_short_8: MI5GTI4V

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/MI5GTI4VNUNWIDVMZEIZJA7H6E \
  | 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: 623a69a3956d1b640eacc9119483e7f12c174f23c0e0e1d2c683545a2185a3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e42cba0a8c55cdc32991e2bd8d9e7947c2add91ebe63bb92c0dabd4bd0a5415",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-20T23:24:27Z",
    "title_canon_sha256": "a6a68a29b9b5ebf5ce0decb4eca6fa67e731d30cf5b163eb558e99fd83f107ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4660",
    "kind": "arxiv",
    "version": 1
  }
}