Pith Number

pith:5H77HGJ4

pith:2017:5H77HGJ4JQGMWQQ6N25JU2LZRM

not attested not anchored not stored refs pending

On the realizability of the critical points of a realizable list

Amber R. Thrall, Daniel A. McCormick, Pietro Paparella, Sarah L Hoover

arxiv:1712.05454 v1 · 2017-12-14 · math.SP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H77HGJ4JQGMWQQ6N25JU2LZRM}

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	2026-05-18T00:08:15.695904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fff3993c4c0ccb421e6eba9a69798b14874acf4159d701bccf0a07406773ab

Aliases

arxiv: 1712.05454 · arxiv_version: 1712.05454v1 · doi: 10.48550/arxiv.1712.05454 · pith_short_12: 5H77HGJ4JQGM · pith_short_16: 5H77HGJ4JQGMWQQ6 · pith_short_8: 5H77HGJ4

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/5H77HGJ4JQGMWQQ6N25JU2LZRM \
  | 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: e9fff3993c4c0ccb421e6eba9a69798b14874acf4159d701bccf0a07406773ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb50096f68e7d74896807dc069647102160cd262dd1b94a93e2646eee481017",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-12-14T20:56:03Z",
    "title_canon_sha256": "252e188406d024af29e7cd64f12a697516ca7fe2797f39f03eb2a1873f8cf9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05454",
    "kind": "arxiv",
    "version": 1
  }
}