Pith Number

pith:PEONYNKD

pith:2016:PEONYNKDH6LTUVP7DA2MTA7EWU

not attested not anchored not stored refs pending

Graph products and the absence of property (AR)

Nicolai Stammeier

arxiv:1612.05127 v1 · 2016-12-15 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEONYNKDH6LTUVP7DA2MTA7EWU}

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	2026-05-17T23:54:36.940528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

791cdc35433f973a55ff1834c983e4b53e9b69a7e03a6218c9e42c2884db9e8d

Aliases

arxiv: 1612.05127 · arxiv_version: 1612.05127v1 · doi: 10.48550/arxiv.1612.05127 · pith_short_12: PEONYNKDH6LT · pith_short_16: PEONYNKDH6LTUVP7 · pith_short_8: PEONYNKD

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/PEONYNKDH6LTUVP7DA2MTA7EWU \
  | 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: 791cdc35433f973a55ff1834c983e4b53e9b69a7e03a6218c9e42c2884db9e8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc401e9742b5f047398ec45eaa6e5cfa92b4bd7d413c975cbe5e812761ae93a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-15T16:18:54Z",
    "title_canon_sha256": "dec421ec3b877331a3512b0cc67c8312abcc7f89783f00b6d8652a3a5b7f2ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05127",
    "kind": "arxiv",
    "version": 1
  }
}