Pith Number

pith:XWQA4OE6

pith:2014:XWQA4OE6MRMDM7O4V72OZZDFV2

not attested not anchored not stored refs pending

The spectra of polynomial equations with varying exponents

Asaf Hadari

arxiv:1410.0064 v3 · 2014-09-30 · math.GT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWQA4OE6MRMDM7O4V72OZZDFV2}

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	2026-05-18T02:40:09.797030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda00e389e6458367ddcaff4ece465aea55d81fc9addd58cfa15625a9b9b739e

Aliases

arxiv: 1410.0064 · arxiv_version: 1410.0064v3 · doi: 10.48550/arxiv.1410.0064 · pith_short_12: XWQA4OE6MRMD · pith_short_16: XWQA4OE6MRMDM7O4 · pith_short_8: XWQA4OE6

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/XWQA4OE6MRMDM7O4V72OZZDFV2 \
  | 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: bda00e389e6458367ddcaff4ece465aea55d81fc9addd58cfa15625a9b9b739e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e42d6454e0601dbee4f9b674a22cd67f331b9051228feee8076cfb644ecfb99",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-30T22:08:28Z",
    "title_canon_sha256": "ef557383634c6a8f2017680aece0ad0b5940c1e2279af7a4d44f79e74066bb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0064",
    "kind": "arxiv",
    "version": 3
  }
}