Pith Number

pith:RFVQ6IBX

pith:2017:RFVQ6IBXJUCIRSMS2ADKZCOVNC

not attested not anchored not stored refs pending

On two-sided gamma-positivity for simple permutations

Eli Bagno, Estrella Eisenberg, Moriah Sigron, Ron M. Adin, Shulamit Reches

arxiv:1711.06511 v2 · 2017-11-17 · 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{RFVQ6IBXJUCIRSMS2ADKZCOVNC}

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	2026-05-18T00:17:54.054145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

896b0f20374d0488c992d006ac89d5688d0c2dbf4acc9814938e343485c86e7b

Aliases

arxiv: 1711.06511 · arxiv_version: 1711.06511v2 · doi: 10.48550/arxiv.1711.06511 · pith_short_12: RFVQ6IBXJUCI · pith_short_16: RFVQ6IBXJUCIRSMS · pith_short_8: RFVQ6IBX

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/RFVQ6IBXJUCIRSMS2ADKZCOVNC \
  | 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: 896b0f20374d0488c992d006ac89d5688d0c2dbf4acc9814938e343485c86e7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d49173660760512208a16068bf8bfa74f763595cf6e09b646eb76a003a262e68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-17T12:39:10Z",
    "title_canon_sha256": "e5cc8ebf84c6386014e5f8ad04fa14deecaf837b57852421b225ea83b46b846a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06511",
    "kind": "arxiv",
    "version": 2
  }
}