Pith Number

pith:4OU4UIBR

pith:2020:4OU4UIBRYWQVZ6LUCXFUCF4W6P

not attested not anchored not stored refs pending

Cyclic symmetry loci in Grasssmannians

Chris Fraser

arxiv:2010.05972 v1 · 2020-10-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OU4UIBRYWQVZ6LUCXFUCF4W6P}

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	2026-07-05T01:42:22.777596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a9ca2031c5a15cf97415cb411796f3ef4931c87ac74dddaf96e086d97e89d8

Aliases

arxiv: 2010.05972 · arxiv_version: 2010.05972v1 · doi: 10.48550/arxiv.2010.05972 · pith_short_12: 4OU4UIBRYWQV · pith_short_16: 4OU4UIBRYWQVZ6LU · pith_short_8: 4OU4UIBR

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/4OU4UIBRYWQVZ6LUCXFUCF4W6P \
  | 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: e3a9ca2031c5a15cf97415cb411796f3ef4931c87ac74dddaf96e086d97e89d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affef32abe9263bcd617798cae32593f6241beb682862d87b57f4d7de5585588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-12T19:05:17Z",
    "title_canon_sha256": "c838cf18c39a6c81f84e22a917ddb69f6c49dd7e488608c633842f8450a57ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.05972",
    "kind": "arxiv",
    "version": 1
  }
}