Pith Number

pith:E642NVQW

pith:2016:E642NVQWG5GBGKBSMWXLQNTI4Q

not attested not anchored not stored refs pending

Do Sums of Squares Dream of Free Resolutions?

Grigoriy Blekherman, Mauricio Velasco, Rainer Sinn

arxiv:1607.03551 v2 · 2016-07-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E642NVQWG5GBGKBSMWXLQNTI4Q}

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	2026-05-18T00:55:57.830245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27b9a6d616374c13283265aeb83668e41db388725826638dacd9f2bc90af1637

Aliases

arxiv: 1607.03551 · arxiv_version: 1607.03551v2 · doi: 10.48550/arxiv.1607.03551 · pith_short_12: E642NVQWG5GB · pith_short_16: E642NVQWG5GBGKBS · pith_short_8: E642NVQW

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/E642NVQWG5GBGKBSMWXLQNTI4Q \
  | 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: 27b9a6d616374c13283265aeb83668e41db388725826638dacd9f2bc90af1637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ac52d3a0aa441dbd8842a786551a7d34793b3d5ef256adbbd31a5eb1e61be8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-13T00:19:34Z",
    "title_canon_sha256": "cf178655ab08ee1a5bb9823c68e9b7da076b7cb62767e99be2576ece473277ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03551",
    "kind": "arxiv",
    "version": 2
  }
}