Pith Number

pith:ZCIUDMR3

pith:2013:ZCIUDMR3KFUUFEI6XBFONM7ORQ

not attested not anchored not stored refs pending

Singular solutions, repeated roots and completeness for higher-spin chains

Andrew J. Sommese, Rafael I. Nepomechie, Wenrui Hao

arxiv:1312.2982 v2 · 2013-12-10 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCIUDMR3KFUUFEI6XBFONM7ORQ}

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	2026-05-18T01:45:51.901970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89141b23b516942911eb84ae6b3ee8c03e3edf9223bc147492dd1b64b85ec8f

Aliases

arxiv: 1312.2982 · arxiv_version: 1312.2982v2 · doi: 10.48550/arxiv.1312.2982 · pith_short_12: ZCIUDMR3KFUU · pith_short_16: ZCIUDMR3KFUUFEI6 · pith_short_8: ZCIUDMR3

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/ZCIUDMR3KFUUFEI6XBFONM7ORQ \
  | 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: c89141b23b516942911eb84ae6b3ee8c03e3edf9223bc147492dd1b64b85ec8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2343c2afb0da7dead352788c9542341536b78ce50a8112c8e1a3e2e6d4cc9fca",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-10T22:22:29Z",
    "title_canon_sha256": "6c26558b3bf9bd488b5ed935f1d2010ecf663ee8cf1dbffcea0f455631712cf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2982",
    "kind": "arxiv",
    "version": 2
  }
}