Pith Number

pith:WLIRISFT

pith:2010:WLIRISFTYFZQHE447J6ZB6UYXD

not attested not anchored not stored refs pending

On Egyptian fractions

Emilio Fern\'andez, Manuel Bello-Hern\'andez, Manuel Benito

arxiv:1010.2035 v2 · 2010-10-11 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLIRISFTYFZQHE447J6ZB6UYXD}

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	2026-05-18T03:56:45.252923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d11448b3c17303939cfa7d90fa98b8cbb99637dc5b44daf945c19db951579f

Aliases

arxiv: 1010.2035 · arxiv_version: 1010.2035v2 · doi: 10.48550/arxiv.1010.2035 · pith_short_12: WLIRISFTYFZQ · pith_short_16: WLIRISFTYFZQHE44 · pith_short_8: WLIRISFT

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/WLIRISFTYFZQHE447J6ZB6UYXD \
  | 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: b2d11448b3c17303939cfa7d90fa98b8cbb99637dc5b44daf945c19db951579f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8c706f43b36c01717eae05bb8cecaf5a99ef6ab0b8dcac747a04574740e85c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-11T08:28:36Z",
    "title_canon_sha256": "665eb0f2971279f6e0a1e79e1609ed1ed52944405f59286e5b6d66095d333ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2035",
    "kind": "arxiv",
    "version": 2
  }
}