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Pith Number

pith:T3SQIT52

pith:2016:T3SQIT52YPCM2PTZXBVNJ3EUDS
not attested not anchored not stored refs pending

On Dantzig figures from graded lexicographic orders

Akshay Gupte, Svetlana Poznanovi\'c

arxiv:1612.06332 v4 · 2016-12-19 · math.CO · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T3SQIT52YPCM2PTZXBVNJ3EUDS}

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 2026-05-18T00:20:07.287086Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9ee5044fbac3c4cd3e79b86ad4ec941c8060010bcf1e7832eedcc34b27850149

Aliases

arxiv: 1612.06332 · arxiv_version: 1612.06332v4 · doi: 10.48550/arxiv.1612.06332 · pith_short_12: T3SQIT52YPCM · pith_short_16: T3SQIT52YPCM2PTZ · pith_short_8: T3SQIT52
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T3SQIT52YPCM2PTZXBVNJ3EUDS \
  | 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: 9ee5044fbac3c4cd3e79b86ad4ec941c8060010bcf1e7832eedcc34b27850149
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "edd5678eb9116916fea6be29cc178162912191afc1bf2bc75eac9e722bae1aae",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-19T20:14:24Z",
    "title_canon_sha256": "3c3bbe07064ce27a32f62921ec0be51e4b224c1f780695123a51779368df6f61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06332",
    "kind": "arxiv",
    "version": 4
  }
}