Pith Number

pith:US5SG2PW

pith:2026:US5SG2PWYZMTMZS7SZVD35X5I6

not attested not anchored not stored refs pending

On Injectivity of Phase Retrieval

Zhangsong Li

arxiv:2606.17922 v1 · 2026-06-16 · math.FA · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{US5SG2PWYZMTMZS7SZVD35X5I6}

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.

Cited by

2 papers in Pith

Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory

Receipt and verification

First computed	2026-06-19T16:10:43.632397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4bb2369f6c65936665f966a3df6fd47bf70a18eb58ff2654773fadac77157f4

Aliases

arxiv: 2606.17922 · arxiv_version: 2606.17922v1 · doi: 10.48550/arxiv.2606.17922 · pith_short_12: US5SG2PWYZMT · pith_short_16: US5SG2PWYZMTMZS7 · pith_short_8: US5SG2PW

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/US5SG2PWYZMTMZS7SZVD35X5I6 \
  | 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: a4bb2369f6c65936665f966a3df6fd47bf70a18eb58ff2654773fadac77157f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6dc892931f2074242a9d4592edd7c8a64d97f5ccadc6469a868a1eb567291a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-16T13:36:58Z",
    "title_canon_sha256": "4c76b909bfe670b1dcd584779ea771185d084092795cbd7e964cd3ab3f877c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17922",
    "kind": "arxiv",
    "version": 1
  }
}