Pith Number

pith:E6E5D2Y2

pith:2018:E6E5D2Y2E527O64KXV7VUV6VSX

not attested not anchored not stored refs pending

Projections with fixed difference: a Hopf-Rinow theorem

Esteban Andruchow, Gustavo Corach, L\'azaro Recht

arxiv:1805.06856 v1 · 2018-05-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E6E5D2Y2E527O64KXV7VUV6VSX}

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	2026-05-18T00:15:43.113086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2789d1eb1a2775f77b8abd7f5a57d595cac7702cb2773963826bbdf1b180c910

Aliases

arxiv: 1805.06856 · arxiv_version: 1805.06856v1 · doi: 10.48550/arxiv.1805.06856 · pith_short_12: E6E5D2Y2E527 · pith_short_16: E6E5D2Y2E527O64K · pith_short_8: E6E5D2Y2

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/E6E5D2Y2E527O64KXV7VUV6VSX \
  | 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: 2789d1eb1a2775f77b8abd7f5a57d595cac7702cb2773963826bbdf1b180c910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812fe429ef4af66289f3771079b0d57b58dbbd0fc0fb3bf65c347db4d7fd8a3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-17T16:59:34Z",
    "title_canon_sha256": "737724badcd00475dcb144a8268ae06cc40cad1d8e3a8cd5705e700ed873c1a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06856",
    "kind": "arxiv",
    "version": 1
  }
}