Pith Number

pith:AWIBEC2N

pith:2020:AWIBEC2N2LBZE33QOEVXRGKMN3

not attested not anchored not stored refs pending

Galkin's lower bound conjecture holds for the Grassmannian

La'Tier Evans, Laura Short, Lisa Schneider, Ryan M. Shifler, Stephanie Warman

arxiv:2006.11960 v1 · 2020-06-22 · 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{AWIBEC2N2LBZE33QOEVXRGKMN3}

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	2026-07-05T01:11:55.269586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0590120b4dd2c3926f70712b78994c6efdd7b33def0f074000881afc867f4073

Aliases

arxiv: 2006.11960 · arxiv_version: 2006.11960v1 · doi: 10.48550/arxiv.2006.11960 · pith_short_12: AWIBEC2N2LBZ · pith_short_16: AWIBEC2N2LBZE33Q · pith_short_8: AWIBEC2N

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/AWIBEC2N2LBZE33QOEVXRGKMN3 \
  | 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: 0590120b4dd2c3926f70712b78994c6efdd7b33def0f074000881afc867f4073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5f3aa75f5e9cba604b4980d129034b1a56b3adbb593ee23a83dac5a10d1c51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-06-22T01:19:31Z",
    "title_canon_sha256": "f051bc3967ed55d4fc7f75277c8c3360221b75a822054c7eddf327935bc64a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.11960",
    "kind": "arxiv",
    "version": 1
  }
}