Pith Number

pith:EFWYRO45

pith:2024:EFWYRO45SGUQWB7T6MYSLHRQ4O

not attested not anchored not stored refs pending

Marked Bumpless Pipedreams and Compatible Pairs

Daoji Huang, Mark Shimozono, Tianyi Yu

arxiv:2407.18160 v1 · 2024-07-25 · 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{EFWYRO45SGUQWB7T6MYSLHRQ4O}

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.

Cited by

1 paper in Pith

Introduction to the Cohomology of the Flag Variety

Receipt and verification

First computed	2026-07-05T08:48:35.500220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216d88bb9d91a90b07f3f331259e30e3af7d8a5fe466fa44b8992039885acac3

Aliases

arxiv: 2407.18160 · arxiv_version: 2407.18160v1 · doi: 10.48550/arxiv.2407.18160 · pith_short_12: EFWYRO45SGUQ · pith_short_16: EFWYRO45SGUQWB7T · pith_short_8: EFWYRO45

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/EFWYRO45SGUQWB7T6MYSLHRQ4O \
  | 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: 216d88bb9d91a90b07f3f331259e30e3af7d8a5fe466fa44b8992039885acac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abad77ab401e56f97e131ac7346500d506a0bbe4dc6e6024df07b0a4c632d789",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-25T16:17:49Z",
    "title_canon_sha256": "1369201ac88ca393773a8418916b75c488b2c58675247f45e00923d8831a5538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.18160",
    "kind": "arxiv",
    "version": 1
  }
}