Pith Number

pith:F2ECUS2K

pith:2017:F2ECUS2KLA6MP4PD3EZ3DQYHOO

not attested not anchored not stored refs pending

Isoperimetry in integer lattices

Ben Barber, Joshua Erde

arxiv:1707.04411 v2 · 2017-07-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2ECUS2KLA6MP4PD3EZ3DQYHOO}

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	2026-05-18T00:06:41.681065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e882a4b4a583cc7f1e3d933b1c30773b96ccac34b5e360c14f6966a0aac76c7

Aliases

arxiv: 1707.04411 · arxiv_version: 1707.04411v2 · doi: 10.48550/arxiv.1707.04411 · pith_short_12: F2ECUS2KLA6M · pith_short_16: F2ECUS2KLA6MP4PD · pith_short_8: F2ECUS2K

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/F2ECUS2KLA6MP4PD3EZ3DQYHOO \
  | 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: 2e882a4b4a583cc7f1e3d933b1c30773b96ccac34b5e360c14f6966a0aac76c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8e027bffa0c4dcc854c17ed17f200198fdfe2f6e6fca4d961a93f44d43ea36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-14T08:22:53Z",
    "title_canon_sha256": "725ac21a09743ef5f4f7fcf4dee4269ed0d7291d952d55f671ef208a9a24abf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04411",
    "kind": "arxiv",
    "version": 2
  }
}