Pith Number

pith:GGMWNTZD

pith:2019:GGMWNTZDYVLXKEALJK5VYYR25Y

not attested not anchored not stored refs pending

Almost-rigidity of frameworks

Louis Theran, Miranda Holmes-Cerfon, Steven J. Gortler

arxiv:1908.03802 v2 · 2019-08-10 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGMWNTZDYVLXKEALJK5VYYR25Y}

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	2026-07-05T01:34:04.627610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319966cf23c55775100b4abb5c623aee1670a49bd26cff9e8484af41eeb0d61f

Aliases

arxiv: 1908.03802 · arxiv_version: 1908.03802v2 · doi: 10.48550/arxiv.1908.03802 · pith_short_12: GGMWNTZDYVLX · pith_short_16: GGMWNTZDYVLXKEAL · pith_short_8: GGMWNTZD

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/GGMWNTZDYVLXKEALJK5VYYR25Y \
  | 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: 319966cf23c55775100b4abb5c623aee1670a49bd26cff9e8484af41eeb0d61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec074b8081e55fa99fbb0c643ce1658739a4ad56797fab2519c44169201c00ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-10T20:35:52Z",
    "title_canon_sha256": "01728c771f058407b91c0974562e4d62310aae7c526ea309d2bbeea6313601d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03802",
    "kind": "arxiv",
    "version": 2
  }
}