Pith Number

pith:KLKIQYBR

pith:2015:KLKIQYBRWRJW5ILPALM77PX2FW

not attested not anchored not stored refs pending

Schematic Harder-Narasimhan stratification for families of principal bundles in higher dimensions

Nitin Nitsure, Sudarshan Gurjar

arxiv:1505.02236 v2 · 2015-05-09 · 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{KLKIQYBRWRJW5ILPALM77PX2FW}

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	2026-05-18T01:03:32.889068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d4886031b4536ea16f02d9ffbefa2db54a8e689aebb55301d881357fcb8f0b

Aliases

arxiv: 1505.02236 · arxiv_version: 1505.02236v2 · doi: 10.48550/arxiv.1505.02236 · pith_short_12: KLKIQYBRWRJW · pith_short_16: KLKIQYBRWRJW5ILP · pith_short_8: KLKIQYBR

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/KLKIQYBRWRJW5ILPALM77PX2FW \
  | 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: 52d4886031b4536ea16f02d9ffbefa2db54a8e689aebb55301d881357fcb8f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b091bd730b91db595dcaced4c1927186457d3f490fed444eee38dca29e94f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-09T07:32:59Z",
    "title_canon_sha256": "55ade7b38d45a6b6e05866909ac029c95a00464cf89a83e7841ece3b3e03ce8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02236",
    "kind": "arxiv",
    "version": 2
  }
}