Pith Number

pith:2SXJGYY5

pith:2011:2SXJGYY54Y3YBJT2GT42QFIJJS

not attested not anchored not stored refs pending

The geometry of eight points in projective space: Representation theory, Lie theory, dualities

Andrew Snowden, Benjamin Howard, John Millson, Ravi Vakil

arxiv:1103.5255 v1 · 2011-03-27 · 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{2SXJGYY54Y3YBJT2GT42QFIJJS}

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	2026-05-18T02:58:01.071112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ae93631de63780a67a34f9a815094cba33e030b22abfc35217d5085f0c2aa1

Aliases

arxiv: 1103.5255 · arxiv_version: 1103.5255v1 · doi: 10.48550/arxiv.1103.5255 · pith_short_12: 2SXJGYY54Y3Y · pith_short_16: 2SXJGYY54Y3YBJT2 · pith_short_8: 2SXJGYY5

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/2SXJGYY54Y3YBJT2GT42QFIJJS \
  | 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: d4ae93631de63780a67a34f9a815094cba33e030b22abfc35217d5085f0c2aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db190a6edbb5f7570ef21a8382f264813c6038f76d097489459b7913aeafa7df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-27T22:36:59Z",
    "title_canon_sha256": "2183ea5e645fdcdfd1dbcbc49093cbde06642de93a447158161c982adc037eb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5255",
    "kind": "arxiv",
    "version": 1
  }
}