Pith Number

pith:6DPAXCL7

pith:2016:6DPAXCL7FDGXEJA4H2KBX4DTZ7

not attested not anchored not stored refs pending

Some conditions for descent of line bundles to GIT quotients $(G/B \times G/B \times G/B)//G$

Nathaniel Bushek

arxiv:1611.09818 v1 · 2016-11-29 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DPAXCL7FDGXEJA4H2KBX4DTZ7}

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	2026-05-18T00:56:12.910306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0de0b897f28cd72241c3e941bf073cffd32a66560a05d9b92bae553fdda0ac3

Aliases

arxiv: 1611.09818 · arxiv_version: 1611.09818v1 · doi: 10.48550/arxiv.1611.09818 · pith_short_12: 6DPAXCL7FDGX · pith_short_16: 6DPAXCL7FDGXEJA4 · pith_short_8: 6DPAXCL7

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/6DPAXCL7FDGXEJA4H2KBX4DTZ7 \
  | 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: f0de0b897f28cd72241c3e941bf073cffd32a66560a05d9b92bae553fdda0ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5544f97172c1fc5e78fa9706e9e8c01c01bbd0e215bc2a7ba454c58ddf7e821d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-29T20:08:57Z",
    "title_canon_sha256": "a6b1ad88e648b910558c4a3fd2db85204413491902d25a83338de957ae2fa70f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09818",
    "kind": "arxiv",
    "version": 1
  }
}