Pith Number

pith:C3ZIJDFP

pith:2015:C3ZIJDFPLI26U7XWH5KV2SE6DF

not attested not anchored not stored refs pending

Algebraic K-theory of quotient stacks

Amalendu Krishna, Charanya Ravi

arxiv:1509.05147 v2 · 2015-09-17 · 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{C3ZIJDFPLI26U7XWH5KV2SE6DF}

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	2026-05-18T00:38:46.758298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f2848caf5a35ea7ef63f555d489e197e834ce08193dc05207e32a47814094c

Aliases

arxiv: 1509.05147 · arxiv_version: 1509.05147v2 · doi: 10.48550/arxiv.1509.05147 · pith_short_12: C3ZIJDFPLI26 · pith_short_16: C3ZIJDFPLI26U7XW · pith_short_8: C3ZIJDFP

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/C3ZIJDFPLI26U7XWH5KV2SE6DF \
  | 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: 16f2848caf5a35ea7ef63f555d489e197e834ce08193dc05207e32a47814094c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f87421351c28ec709d7d25bdefa1810cee26569cba1145a0f27dfc7ba43b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-17T07:17:06Z",
    "title_canon_sha256": "ba380a6cde032211382eb4c8d27c90d2f1102dcd7cd2d193cc1a2d612e63f110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05147",
    "kind": "arxiv",
    "version": 2
  }
}