Pith Number

pith:2EK7WQGV

pith:2016:2EK7WQGVIRFEULCVYL2JXDR3F6

not attested not anchored not stored refs pending

Three Value Ranges for Symmetric Self-mappings

Julia Koch, Sebastian Schlei{\ss}inger

arxiv:1602.05058 v3 · 2016-02-16 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EK7WQGVIRFEULCVYL2JXDR3F6}

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	2026-05-18T01:11:41.110915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d115fb40d5444a4a2c55c2f49b8e3b2fb674ee4b2c7c8eaa33667202da3fc306

Aliases

arxiv: 1602.05058 · arxiv_version: 1602.05058v3 · doi: 10.48550/arxiv.1602.05058 · pith_short_12: 2EK7WQGVIRFE · pith_short_16: 2EK7WQGVIRFEULCV · pith_short_8: 2EK7WQGV

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/2EK7WQGVIRFEULCVYL2JXDR3F6 \
  | 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: d115fb40d5444a4a2c55c2f49b8e3b2fb674ee4b2c7c8eaa33667202da3fc306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d974055e073109143da3ea069274a3cdd792f7edd3d0fac8dacfcd6225f38557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-02-16T15:42:06Z",
    "title_canon_sha256": "8ba77088bc79609abca445ecd0d41df645750ce4e5da50371d37b4e3d78d09d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05058",
    "kind": "arxiv",
    "version": 3
  }
}